Solve for x -6+2/5(-1/2x+5)+3x=-5+3/5x

$- 6 + \frac{2}{5} (- \frac{1}{2} x + 5) + 3 x = - 5 + \frac{3}{5} x$

Simplify $- 6 + \frac{2}{5} \cdot (- \frac{1}{2} x + 5) + 3 x$ .

Simplify each term.

Combine $x$ and $\frac{1}{2}$ .

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

Apply the distributive property.

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

Cancel the common factor of $2$ .

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

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

Cancel the common factor.

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

Rewrite the expression.

$- 6 + \frac{1}{5} (- x) + \frac{2}{5} \cdot 5 + 3 x = - 5 + \frac{3}{5} x$

Combine $\frac{1}{5}$ and $x$ .

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

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

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

Add $- 6$ and $2$ .

$- \frac{x}{5} - 4 + 3 x = - 5 + \frac{3}{5} x$

To write $3 x$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Simplify terms.

Combine $3 x$ and $\frac{5}{5}$ .

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

Combine the numerators over the common denominator.

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

Simplify each term.

Simplify the numerator.

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

Factor $x$ out of $- x$ .

$\frac{x \cdot - 1 + 3 x \cdot 5}{5} - 4 = - 5 + \frac{3}{5} x$

Factor $x$ out of $3 x \cdot 5$ .

$\frac{x \cdot - 1 + x (3 \cdot 5)}{5} - 4 = - 5 + \frac{3}{5} x$

Factor $x$ out of $x \cdot - 1 + x (3 \cdot 5)$ .

$\frac{x (- 1 + 3 \cdot 5)}{5} - 4 = - 5 + \frac{3}{5} x$

Multiply $3$ by $5$ .

$\frac{x (- 1 + 15)}{5} - 4 = - 5 + \frac{3}{5} x$

Add $- 1$ and $15$ .

$\frac{x \cdot 14}{5} - 4 = - 5 + \frac{3}{5} x$

Move $14$ to the left of $x$ .

$\frac{14 x}{5} - 4 = - 5 + \frac{3}{5} x$

Combine $\frac{3}{5}$ and $x$ .

$\frac{14 x}{5} - 4 = - 5 + \frac{3 x}{5}$

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

Subtract $\frac{3 x}{5}$ from both sides of the equation.

$\frac{14 x}{5} - 4 - \frac{3 x}{5} = - 5$

Combine the numerators over the common denominator.

$- 4 + \frac{14 x - 3 x}{5} = - 5$

Subtract $3 x$ from $14 x$ .

$- 4 + \frac{11 x}{5} = - 5$

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

Add $4$ to both sides of the equation.

$\frac{11 x}{5} = - 5 + 4$

Add $- 5$ and $4$ .

$\frac{11 x}{5} = - 1$

Multiply both sides of the equation by $\frac{5}{11}$ .

$\frac{5}{11} \cdot \frac{11 x}{5} = \frac{5}{11} \cdot - 1$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{11} \cdot \frac{11 x}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{11} \cdot \frac{11 x}{5} = \frac{5}{11} \cdot - 1$

Rewrite the expression.

$\frac{1}{11} (11 x) = \frac{5}{11} \cdot - 1$

Cancel the common factor of $11$ .

Factor $11$ out of $11 x$ .

$\frac{1}{11} (11 (x)) = \frac{5}{11} \cdot - 1$

Cancel the common factor.

$\frac{1}{11} (11 x) = \frac{5}{11} \cdot - 1$

Rewrite the expression.

$x = \frac{5}{11} \cdot - 1$

Simplify the right side.

Simplify $\frac{5}{11} \cdot - 1$ .

Multiply $\frac{5}{11} \cdot - 1$ .

Combine $\frac{5}{11}$ and $- 1$ .

$x = \frac{5 \cdot - 1}{11}$

Multiply $5$ by $- 1$ .

$x = \frac{- 5}{11}$

Move the negative in front of the fraction.

$x = - \frac{5}{11}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5}{11}$

Decimal Form:

$x = - 0.\overline{45}$

Solve for x -6+2/5(-1/2x+5)+3x=-5+3/5x

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