Solve for s -6(s+7)=10(3-s)

$- 6 (s + 7) = 10 (3 - s)$

Simplify $- 6 (s + 7)$ .

Start simplifying.

$0 + 0 - 6 (s + 7) = 10 (3 - s)$

Simplify by adding zeros.

$- 6 (s + 7) = 10 (3 - s)$

Apply the distributive property.

$- 6 s - 6 \cdot 7 = 10 (3 - s)$

Multiply $- 6$ by $7$ .

$- 6 s - 42 = 10 (3 - s)$

Simplify $10 (3 - s)$ .

Apply the distributive property.

$- 6 s - 42 = 10 \cdot 3 + 10 (- s)$

Multiply.

Multiply $10$ by $3$ .

$- 6 s - 42 = 30 + 10 (- s)$

Multiply $- 1$ by $10$ .

$- 6 s - 42 = 30 - 10 s$

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

Add $10 s$ to both sides of the equation.

$- 6 s - 42 + 10 s = 30$

Add $- 6 s$ and $10 s$ .

$4 s - 42 = 30$

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

Add $42$ to both sides of the equation.

$4 s = 30 + 42$

Add $30$ and $42$ .

$4 s = 72$

Divide each term in $4 s = 72$ by $4$ and simplify.

Divide each term in $4 s = 72$ by $4$ .

$\frac{4 s}{4} = \frac{72}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 s}{4} = \frac{72}{4}$

Divide $s$ by $1$ .

$s = \frac{72}{4}$

Simplify the right side.

Divide $72$ by $4$ .

$s = 18$