Solve for s 1+(3s)/5=7

$1 + \frac{3 s}{5} = 7$

Step 1

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

Subtract $1$ from both sides of the equation.

$\frac{3 s}{5} = 7 - 1$

Subtract $1$ from $7$ .

$\frac{3 s}{5} = 6$

Step 2

Multiply both sides of the equation by $\frac{5}{3}$ .

$\frac{5}{3} \cdot \frac{3 s}{5} = \frac{5}{3} \cdot 6$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{3} \cdot \frac{3 s}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{3} \cdot \frac{3 s}{5} = \frac{5}{3} \cdot 6$

Rewrite the expression.

$\frac{1}{3} (3 s) = \frac{5}{3} \cdot 6$

Cancel the common factor of $3$ .

Factor $3$ out of $3 s$ .

$\frac{1}{3} (3 (s)) = \frac{5}{3} \cdot 6$

Cancel the common factor.

$\frac{1}{3} (3 s) = \frac{5}{3} \cdot 6$

Rewrite the expression.

$s = \frac{5}{3} \cdot 6$

Simplify the right side.

Simplify $\frac{5}{3} \cdot 6$ .

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$s = \frac{5}{3} \cdot (3 (2))$

Cancel the common factor.

$s = \frac{5}{3} \cdot (3 \cdot 2)$

Rewrite the expression.

$s = 5 \cdot 2$

Multiply $5$ by $2$ .

$s = 10$