Evaluate 5(x-36)-2x=4(x-56)-547

$5 (x - 36) - 2 x = 4 (x - 56) - 547$

Simplify $5 (x - 36) - 2 x$ .

Simplify each term.

Apply the distributive property.

$5 x + 5 \cdot - 36 - 2 x = 4 (x - 56) - 547$

Multiply $5$ by $- 36$ .

$5 x - 180 - 2 x = 4 (x - 56) - 547$

Subtract $2 x$ from $5 x$ .

$3 x - 180 = 4 (x - 56) - 547$

Simplify $4 (x - 56) - 547$ .

Simplify each term.

Apply the distributive property.

$3 x - 180 = 4 x + 4 \cdot - 56 - 547$

Multiply $4$ by $- 56$ .

$3 x - 180 = 4 x - 224 - 547$

Subtract $547$ from $- 224$ .

$3 x - 180 = 4 x - 771$

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

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

$3 x - 180 - 4 x = - 771$

Subtract $4 x$ from $3 x$ .

$- x - 180 = - 771$

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

Add $180$ to both sides of the equation.

$- x = - 771 + 180$

Add $- 771$ and $180$ .

$- x = - 591$

Divide each term in $- x = - 591$ by $- 1$ and simplify.

Divide each term in $- x = - 591$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 591}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 591}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 591}{- 1}$

Simplify the right side.

Divide $- 591$ by $- 1$ .

$x = 591$