Solve for c (c+5)/-3=18

$\frac{c + 5}{- 3} = 18$

Step 1

Multiply both sides of the equation by $- 3$ .

$- 3 \frac{c + 5}{- 3} = - 3 \cdot 18$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 3 \frac{c + 5}{- 3}$ .

Cancel the common factor of $3$ .

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{c + 5}{- 3} = - 3 \cdot 18$

Factor $3$ out of $- 3$ .

$3 \cdot - 1 \frac{c + 5}{3 \cdot - 1} = - 3 \cdot 18$

Cancel the common factor.

$3 \cdot - 1 \frac{c + 5}{3 \cdot - 1} = - 3 \cdot 18$

Rewrite the expression.

$- \frac{c + 5}{- 1} = - 3 \cdot 18$

Simplify the expression.

Move the negative one from the denominator of $\frac{c + 5}{- 1}$ .

$- (- 1 \cdot (c + 5)) = - 3 \cdot 18$

Rewrite $- 1 \cdot (c + 5)$ as $- (c + 5)$ .

$- - (c + 5) = - 3 \cdot 18$

Apply the distributive property.

$- (- c - 1 \cdot 5) = - 3 \cdot 18$

Multiply $- 1$ by $5$ .

$- (- c - 5) = - 3 \cdot 18$

Apply the distributive property.

$- - c - - 5 = - 3 \cdot 18$

Multiply $- - c$ .

Multiply $- 1$ by $- 1$ .

$1 c - - 5 = - 3 \cdot 18$

Multiply $c$ by $1$ .

$c - - 5 = - 3 \cdot 18$

Multiply $- 1$ by $- 5$ .

$c + 5 = - 3 \cdot 18$

Simplify the right side.

Multiply $- 3$ by $18$ .

$c + 5 = - 54$

Step 3

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

Subtract $5$ from both sides of the equation.

$c = - 54 - 5$

Subtract $5$ from $- 54$ .

$c = - 59$