Solve for x y-5=m(x-2)

$y - 5 = m (x - 2)$

Step 1

Rewrite the equation as $m (x - 2) = y - 5$ .

$m (x - 2) = y - 5$

Step 2

Divide each term in $m (x - 2) = y - 5$ by $m$ and simplify.

Divide each term in $m (x - 2) = y - 5$ by $m$ .

$\frac{m (x - 2)}{m} = \frac{y}{m} + \frac{- 5}{m}$

Simplify the left side.

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{m (x - 2)}{m} = \frac{y}{m} + \frac{- 5}{m}$

Divide $x - 2$ by $1$ .

$x - 2 = \frac{y}{m} + \frac{- 5}{m}$

Simplify the right side.

Move the negative in front of the fraction.

$x - 2 = \frac{y}{m} - \frac{5}{m}$

Step 3

Add $2$ to both sides of the equation.

$x = \frac{y}{m} - \frac{5}{m} + 2$