Solve for x -(7x-8)=2-5x

$- (7 x - 8) = 2 - 5 x$

Simplify $- (7 x - 8)$ .

Rewrite.

$0 + 0 - (7 x - 8) = 2 - 5 x$

Simplify by adding zeros.

$- (7 x - 8) = 2 - 5 x$

Apply the distributive property.

$- (7 x) - - 8 = 2 - 5 x$

Multiply.

Multiply $7$ by $- 1$ .

$- 7 x - - 8 = 2 - 5 x$

Multiply $- 1$ by $- 8$ .

$- 7 x + 8 = 2 - 5 x$

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

Add $5 x$ to both sides of the equation.

$- 7 x + 8 + 5 x = 2$

Add $- 7 x$ and $5 x$ .

$- 2 x + 8 = 2$

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

Subtract $8$ from both sides of the equation.

$- 2 x = 2 - 8$

Subtract $8$ from $2$ .

$- 2 x = - 6$

Divide each term in $- 2 x = - 6$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 6$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 6}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 6}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 6}{- 2}$

Simplify the right side.

Divide $- 6$ by $- 2$ .

$x = 3$