Solve for x 5-4(-x-3/2)=5(-6x-6/5)+10x

$5 - 4 (- x - \frac{3}{2}) = 5 (- 6 x - \frac{6}{5}) + 10 x$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$5 (- 6 x - \frac{6}{5}) + 10 x = 5 - 4 (- x - \frac{3}{2})$

Simplify $5 (- 6 x - \frac{6}{5}) + 10 x$ .

Simplify each term.

Apply the distributive property.

$5 (- 6 x) + 5 (- \frac{6}{5}) + 10 x = 5 - 4 (- x - \frac{3}{2})$

Multiply $- 6$ by $5$ .

$- 30 x + 5 (- \frac{6}{5}) + 10 x = 5 - 4 (- x - \frac{3}{2})$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{6}{5}$ into the numerator.

$- 30 x + 5 (\frac{- 6}{5}) + 10 x = 5 - 4 (- x - \frac{3}{2})$

Cancel the common factor.

$- 30 x + 5 (\frac{- 6}{5}) + 10 x = 5 - 4 (- x - \frac{3}{2})$

Rewrite the expression.

$- 30 x - 6 + 10 x = 5 - 4 (- x - \frac{3}{2})$

Add $- 30 x$ and $10 x$ .

$- 20 x - 6 = 5 - 4 (- x - \frac{3}{2})$

Simplify $5 - 4 (- x - \frac{3}{2})$ .

Simplify each term.

Apply the distributive property.

$- 20 x - 6 = 5 - 4 (- x) - 4 (- \frac{3}{2})$

Multiply $- 1$ by $- 4$ .

$- 20 x - 6 = 5 + 4 x - 4 (- \frac{3}{2})$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{3}{2}$ into the numerator.

$- 20 x - 6 = 5 + 4 x - 4 (\frac{- 3}{2})$

Factor $2$ out of $- 4$ .

$- 20 x - 6 = 5 + 4 x + 2 (- 2) \frac{- 3}{2}$

Cancel the common factor.

$- 20 x - 6 = 5 + 4 x + 2 \cdot - 2 \frac{- 3}{2}$

Rewrite the expression.

$- 20 x - 6 = 5 + 4 x - 2 \cdot - 3$

Multiply $- 2$ by $- 3$ .

$- 20 x - 6 = 5 + 4 x + 6$

Add $5$ and $6$ .

$- 20 x - 6 = 4 x + 11$

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

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

$- 20 x - 6 - 4 x = 11$

Subtract $4 x$ from $- 20 x$ .

$- 24 x - 6 = 11$

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

Add $6$ to both sides of the equation.

$- 24 x = 11 + 6$

Add $11$ and $6$ .

$- 24 x = 17$

Divide each term in $- 24 x = 17$ by $- 24$ and simplify.

Divide each term in $- 24 x = 17$ by $- 24$ .

$\frac{- 24 x}{- 24} = \frac{17}{- 24}$

Simplify the left side.

Cancel the common factor of $- 24$ .

Cancel the common factor.

$\frac{- 24 x}{- 24} = \frac{17}{- 24}$

Divide $x$ by $1$ .

$x = \frac{17}{- 24}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{17}{24}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{17}{24}$

Decimal Form:

$x = - 0.708\overline{3}$

Solve for x 5-4(-x-3/2)=5(-6x-6/5)+10x

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