Solve for s -2(13s-14)=4(-8s+10)

$- 2 (13 s - 14) = 4 (- 8 s + 10)$

Simplify $- 2 (13 s - 14)$ .

Start simplifying.

$0 + 0 - 2 (13 s - 14) = 4 (- 8 s + 10)$

Simplify by adding zeros.

$- 2 (13 s - 14) = 4 (- 8 s + 10)$

Apply the distributive property.

$- 2 (13 s) - 2 \cdot - 14 = 4 (- 8 s + 10)$

Multiply.

Multiply $13$ by $- 2$ .

$- 26 s - 2 \cdot - 14 = 4 (- 8 s + 10)$

Multiply $- 2$ by $- 14$ .

$- 26 s + 28 = 4 (- 8 s + 10)$

Simplify $4 (- 8 s + 10)$ .

Apply the distributive property.

$- 26 s + 28 = 4 (- 8 s) + 4 \cdot 10$

Multiply.

Multiply $- 8$ by $4$ .

$- 26 s + 28 = - 32 s + 4 \cdot 10$

Multiply $4$ by $10$ .

$- 26 s + 28 = - 32 s + 40$

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

Add $32 s$ to both sides of the equation.

$- 26 s + 28 + 32 s = 40$

Add $- 26 s$ and $32 s$ .

$6 s + 28 = 40$

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

Subtract $28$ from both sides of the equation.

$6 s = 40 - 28$

Subtract $28$ from $40$ .

$6 s = 12$

Divide each term in $6 s = 12$ by $6$ and simplify.

Divide each term in $6 s = 12$ by $6$ .

$\frac{6 s}{6} = \frac{12}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 s}{6} = \frac{12}{6}$

Divide $s$ by $1$ .

$s = \frac{12}{6}$

Simplify the right side.

Divide $12$ by $6$ .

$s = 2$