Solve for x -(6/5x+6)+2=-4/5(-5x+7)

$- (\frac{6}{5} x + 6) + 2 = - \frac{4}{5} (- 5 x + 7)$

Simplify $- (\frac{6}{5} x + 6) + 2$ .

Simplify each term.

Combine $\frac{6}{5}$ and $x$ .

$- (\frac{6 x}{5} + 6) + 2 = - \frac{4}{5} \cdot (- 5 x + 7)$

Apply the distributive property.

$- \frac{6 x}{5} - 1 \cdot 6 + 2 = - \frac{4}{5} \cdot (- 5 x + 7)$

Multiply $- 1$ by $6$ .

$- \frac{6 x}{5} - 6 + 2 = - \frac{4}{5} \cdot (- 5 x + 7)$

Add $- 6$ and $2$ .

$- \frac{6 x}{5} - 4 = - \frac{4}{5} \cdot (- 5 x + 7)$

Simplify $- \frac{4}{5} \cdot (- 5 x + 7)$ .

Apply the distributive property.

$- \frac{6 x}{5} - 4 = - \frac{4}{5} (- 5 x) - \frac{4}{5} \cdot 7$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{4}{5}$ into the numerator.

$- \frac{6 x}{5} - 4 = \frac{- 4}{5} (- 5 x) - \frac{4}{5} \cdot 7$

Factor $5$ out of $- 5 x$ .

$- \frac{6 x}{5} - 4 = \frac{- 4}{5} (5 (- x)) - \frac{4}{5} \cdot 7$

Cancel the common factor.

$- \frac{6 x}{5} - 4 = \frac{- 4}{5} (5 (- x)) - \frac{4}{5} \cdot 7$

Rewrite the expression.

$- \frac{6 x}{5} - 4 = - 4 (- x) - \frac{4}{5} \cdot 7$

Multiply $- 1$ by $- 4$ .

$- \frac{6 x}{5} - 4 = 4 x - \frac{4}{5} \cdot 7$

Multiply $- \frac{4}{5} \cdot 7$ .

Multiply $7$ by $- 1$ .

$- \frac{6 x}{5} - 4 = 4 x - 7 (\frac{4}{5})$

Combine $- 7$ and $\frac{4}{5}$ .

$- \frac{6 x}{5} - 4 = 4 x + \frac{- 7 \cdot 4}{5}$

Multiply $- 7$ by $4$ .

$- \frac{6 x}{5} - 4 = 4 x + \frac{- 28}{5}$

Move the negative in front of the fraction.

$- \frac{6 x}{5} - 4 = 4 x - \frac{28}{5}$

Move all terms containing $x$ to the left side of the equation.

Subtract $4 x$ from both sides of the equation.

$- \frac{6 x}{5} - 4 - 4 x = - \frac{28}{5}$

To write $- 4 x$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{6 x}{5} - 4 x \cdot \frac{5}{5} - 4 = - \frac{28}{5}$

Combine $- 4 x$ and $\frac{5}{5}$ .

$- \frac{6 x}{5} + \frac{- 4 x \cdot 5}{5} - 4 = - \frac{28}{5}$

Combine the numerators over the common denominator.

$\frac{- 6 x - 4 x \cdot 5}{5} - 4 = - \frac{28}{5}$

Simplify each term.

Simplify the numerator.

Factor $2 x$ out of $- 6 x - 4 x \cdot 5$ .

Factor $2 x$ out of $- 6 x$ .

$\frac{2 x (- 3) - 4 x \cdot 5}{5} - 4 = - \frac{28}{5}$

Factor $2 x$ out of $- 4 x \cdot 5$ .

$\frac{2 x (- 3) + 2 x (- 2 \cdot 5)}{5} - 4 = - \frac{28}{5}$

Factor $2 x$ out of $2 x (- 3) + 2 x (- 2 \cdot 5)$ .

$\frac{2 x (- 3 - 2 \cdot 5)}{5} - 4 = - \frac{28}{5}$

Multiply $- 2$ by $5$ .

$\frac{2 x (- 3 - 10)}{5} - 4 = - \frac{28}{5}$

Subtract $10$ from $- 3$ .

$\frac{2 x \cdot - 13}{5} - 4 = - \frac{28}{5}$

Multiply $- 13$ by $2$ .

$\frac{- 26 x}{5} - 4 = - \frac{28}{5}$

Move the negative in front of the fraction.

$- \frac{26 x}{5} - 4 = - \frac{28}{5}$

Move all terms not containing $x$ to the right side of the equation.

Add $4$ to both sides of the equation.

$- \frac{26 x}{5} = - \frac{28}{5} + 4$

To write $4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{26 x}{5} = - \frac{28}{5} + 4 \cdot \frac{5}{5}$

Combine $4$ and $\frac{5}{5}$ .

$- \frac{26 x}{5} = - \frac{28}{5} + \frac{4 \cdot 5}{5}$

Combine the numerators over the common denominator.

$- \frac{26 x}{5} = \frac{- 28 + 4 \cdot 5}{5}$

Simplify the numerator.

Multiply $4$ by $5$ .

$- \frac{26 x}{5} = \frac{- 28 + 20}{5}$

Add $- 28$ and $20$ .

$- \frac{26 x}{5} = \frac{- 8}{5}$

Move the negative in front of the fraction.

$- \frac{26 x}{5} = - \frac{8}{5}$

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$- 26 x = - 8$

Divide each term in $- 26 x = - 8$ by $- 26$ and simplify.

Divide each term in $- 26 x = - 8$ by $- 26$ .

$\frac{- 26 x}{- 26} = \frac{- 8}{- 26}$

Simplify the left side.

Cancel the common factor of $- 26$ .

Cancel the common factor.

$\frac{- 26 x}{- 26} = \frac{- 8}{- 26}$

Divide $x$ by $1$ .

$x = \frac{- 8}{- 26}$

Simplify the right side.

Cancel the common factor of $- 8$ and $- 26$ .

Factor $- 2$ out of $- 8$ .

$x = \frac{- 2 (4)}{- 26}$

Cancel the common factors.

Factor $- 2$ out of $- 26$ .

$x = \frac{- 2 \cdot 4}{- 2 \cdot 13}$

Cancel the common factor.

$x = \frac{- 2 \cdot 4}{- 2 \cdot 13}$

Rewrite the expression.

$x = \frac{4}{13}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{4}{13}$

Decimal Form:

$x = 0.\overline{307692}$

Solve for x -(6/5x+6)+2=-4/5(-5x+7)

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