Solve for c -20+1/5c=-7

$- 20 + \frac{1}{5} c = - 7$

Step 1

Combine $\frac{1}{5}$ and $c$ .

$- 20 + \frac{c}{5} = - 7$

Step 2

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

Add $20$ to both sides of the equation.

$\frac{c}{5} = - 7 + 20$

Add $- 7$ and $20$ .

$\frac{c}{5} = 13$

Step 3

Multiply both sides of the equation by $5$ .

$5 \frac{c}{5} = 5 \cdot 13$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{c}{5} = 5 \cdot 13$

Rewrite the expression.

$c = 5 \cdot 13$

Simplify the right side.

Multiply $5$ by $13$ .

$c = 65$