Evaluate 35x-56=g(-5x+8)

$35 x - 56 = g (- 5 x + 8)$

Simplify $g (- 5 x + 8)$ .

Rewrite.

$35 x - 56 = 0 + 0 + g (- 5 x + 8)$

Simplify by adding zeros.

$35 x - 56 = g (- 5 x + 8)$

Apply the distributive property.

$35 x - 56 = g (- 5 x) + g \cdot 8$

Reorder.

Rewrite using the commutative property of multiplication.

$35 x - 56 = - 5 g x + g \cdot 8$

Move $8$ to the left of $g$ .

$35 x - 56 = - 5 g x + 8 g$

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

$35 x - 56 + 5 g x = 8 g$

Add $56$ to both sides of the equation.

$35 x + 5 g x = 8 g + 56$

Factor $5 x$ out of $35 x + 5 g x$ .

Factor $5 x$ out of $35 x$ .

$5 x (7) + 5 g x = 8 g + 56$

Factor $5 x$ out of $5 g x$ .

$5 x (7) + 5 x (g) = 8 g + 56$

Factor $5 x$ out of $5 x (7) + 5 x (g)$ .

$5 x (7 + g) = 8 g + 56$

Divide each term in $5 x (7 + g) = 8 g + 56$ by $5 (7 + g)$ and simplify.

Divide each term in $5 x (7 + g) = 8 g + 56$ by $5 (7 + g)$ .

$\frac{5 x (7 + g)}{5 (7 + g)} = \frac{8 g}{5 (7 + g)} + \frac{56}{5 (7 + g)}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x (7 + g)}{5 (7 + g)} = \frac{8 g}{5 (7 + g)} + \frac{56}{5 (7 + g)}$

Rewrite the expression.

$\frac{x (7 + g)}{7 + g} = \frac{8 g}{5 (7 + g)} + \frac{56}{5 (7 + g)}$

Cancel the common factor of $7 + g$ .

Cancel the common factor.

$\frac{x (7 + g)}{7 + g} = \frac{8 g}{5 (7 + g)} + \frac{56}{5 (7 + g)}$

Divide $x$ by $1$ .

$x = \frac{8 g}{5 (7 + g)} + \frac{56}{5 (7 + g)}$