Solve for s (5s+8)/7=4

$\frac{5 s + 8}{7} = 4$

Step 1

Multiply both sides by $7$ .

$\frac{5 s + 8}{7} \cdot 7 = 4 \cdot 7$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{5 s + 8}{7} \cdot 7 = 4 \cdot 7$

Rewrite the expression.

$5 s + 8 = 4 \cdot 7$

Simplify the right side.

Multiply $4$ by $7$ .

$5 s + 8 = 28$

Step 3

Solve for $s$ .

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

Subtract $8$ from both sides of the equation.

$5 s = 28 - 8$

Subtract $8$ from $28$ .

$5 s = 20$

Divide each term in $5 s = 20$ by $5$ and simplify.

Divide each term in $5 s = 20$ by $5$ .

$\frac{5 s}{5} = \frac{20}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 s}{5} = \frac{20}{5}$

Divide $s$ by $1$ .

$s = \frac{20}{5}$

Simplify the right side.

Divide $20$ by $5$ .

$s = 4$