Solve for x C=85x+60

$C = 85 x + 60$

Step 1

Rewrite the equation as $85 x + 60 = C$ .

$85 x + 60 = C$

Step 2

Subtract $60$ from both sides of the equation.

$85 x = C - 60$

Step 3

Divide each term in $85 x = C - 60$ by $85$ and simplify.

Divide each term in $85 x = C - 60$ by $85$ .

$\frac{85 x}{85} = \frac{C}{85} + \frac{- 60}{85}$

Simplify the left side.

Cancel the common factor of $85$ .

Cancel the common factor.

$\frac{85 x}{85} = \frac{C}{85} + \frac{- 60}{85}$

Divide $x$ by $1$ .

$x = \frac{C}{85} + \frac{- 60}{85}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 60$ and $85$ .

Factor $5$ out of $- 60$ .

$x = \frac{C}{85} + \frac{5 (- 12)}{85}$

Cancel the common factors.

Factor $5$ out of $85$ .

$x = \frac{C}{85} + \frac{5 \cdot - 12}{5 \cdot 17}$

Cancel the common factor.

$x = \frac{C}{85} + \frac{5 \cdot - 12}{5 \cdot 17}$

Rewrite the expression.

$x = \frac{C}{85} + \frac{- 12}{17}$

Move the negative in front of the fraction.

$x = \frac{C}{85} - \frac{12}{17}$