Solve for x 7x-12x-5=-45+15

$7 x - 12 x - 5 = - 45 + 15$

Step 1

Subtract $12 x$ from $7 x$ .

$- 5 x - 5 = - 45 + 15$

Step 2

Add $- 45$ and $15$ .

$- 5 x - 5 = - 30$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Add $5$ to both sides of the equation.

$- 5 x = - 30 + 5$

Add $- 30$ and $5$ .

$- 5 x = - 25$

Step 4

Divide each term in $- 5 x = - 25$ by $- 5$ and simplify.

Divide each term in $- 5 x = - 25$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 25}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 25}{- 5}$

Divide $x$ by $1$ .

$x = \frac{- 25}{- 5}$

Simplify the right side.

Divide $- 25$ by $- 5$ .

$x = 5$