Solve for x y=mx+b

$y = m x + b$

Step 1

Rewrite the equation as $m x + b = y$ .

$m x + b = y$

Step 2

Subtract $b$ from both sides of the equation.

$m x = y - b$

Step 3

Divide each term in $m x = y - b$ by $m$ and simplify.

Divide each term in $m x = y - b$ by $m$ .

$\frac{m x}{m} = \frac{y}{m} + \frac{- b}{m}$

Simplify the left side.

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{m x}{m} = \frac{y}{m} + \frac{- b}{m}$

Divide $x$ by $1$ .

$x = \frac{y}{m} + \frac{- b}{m}$

Simplify the right side.

Move the negative in front of the fraction.

$x = \frac{y}{m} - \frac{b}{m}$