Solve for x m-3x=2x+p

$m - 3 x = 2 x + p$

Step 1

Move all terms containing $x$ to the left side of the equation.

Subtract $2 x$ from both sides of the equation.

$m - 3 x - 2 x = p$

Subtract $2 x$ from $- 3 x$ .

$m - 5 x = p$

Step 2

Subtract $m$ from both sides of the equation.

$- 5 x = p - m$

Step 3

Divide each term in $- 5 x = p - m$ by $- 5$ and simplify.

Divide each term in $- 5 x = p - m$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{p}{- 5} + \frac{- m}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{p}{- 5} + \frac{- m}{- 5}$

Divide $x$ by $1$ .

$x = \frac{p}{- 5} + \frac{- m}{- 5}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$x = - \frac{p}{5} + \frac{- m}{- 5}$

Dividing two negative values results in a positive value.

$x = - \frac{p}{5} + \frac{m}{5}$