Solve for x 8x+39=2x-15

$8 x + 39 = 2 x - 15$

Step 1

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

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

$8 x + 39 - 2 x = - 15$

Subtract $2 x$ from $8 x$ .

$6 x + 39 = - 15$

Step 2

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

Subtract $39$ from both sides of the equation.

$6 x = - 15 - 39$

Subtract $39$ from $- 15$ .

$6 x = - 54$

Step 3

Divide each term in $6 x = - 54$ by $6$ and simplify.

Divide each term in $6 x = - 54$ by $6$ .

$\frac{6 x}{6} = \frac{- 54}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 54}{6}$

Divide $x$ by $1$ .

$x = \frac{- 54}{6}$

Simplify the right side.

Divide $- 54$ by $6$ .

$x = - 9$