Solve for x y=26x+12

$y = 26 x + 12$

Step 1

Rewrite the equation as $26 x + 12 = y$ .

$26 x + 12 = y$

Step 2

Subtract $12$ from both sides of the equation.

$26 x = y - 12$

Step 3

Divide each term in $26 x = y - 12$ by $26$ and simplify.

Divide each term in $26 x = y - 12$ by $26$ .

$\frac{26 x}{26} = \frac{y}{26} + \frac{- 12}{26}$

Simplify the left side.

Cancel the common factor of $26$ .

Cancel the common factor.

$\frac{26 x}{26} = \frac{y}{26} + \frac{- 12}{26}$

Divide $x$ by $1$ .

$x = \frac{y}{26} + \frac{- 12}{26}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 12$ and $26$ .

Factor $2$ out of $- 12$ .

$x = \frac{y}{26} + \frac{2 (- 6)}{26}$

Cancel the common factors.

Factor $2$ out of $26$ .

$x = \frac{y}{26} + \frac{2 \cdot - 6}{2 \cdot 13}$

Cancel the common factor.

$x = \frac{y}{26} + \frac{2 \cdot - 6}{2 \cdot 13}$

Rewrite the expression.

$x = \frac{y}{26} + \frac{- 6}{13}$

Move the negative in front of the fraction.

$x = \frac{y}{26} - \frac{6}{13}$