Solve for x 9x+37=5x-11

$9 x + 37 = 5 x - 11$

Step 1

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

Subtract $5 x$ from both sides of the equation.

$9 x + 37 - 5 x = - 11$

Subtract $5 x$ from $9 x$ .

$4 x + 37 = - 11$

Step 2

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

Subtract $37$ from both sides of the equation.

$4 x = - 11 - 37$

Subtract $37$ from $- 11$ .

$4 x = - 48$

Step 3

Divide each term in $4 x = - 48$ by $4$ and simplify.

Divide each term in $4 x = - 48$ by $4$ .

$\frac{4 x}{4} = \frac{- 48}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 48}{4}$

Divide $x$ by $1$ .

$x = \frac{- 48}{4}$

Simplify the right side.

Divide $- 48$ by $4$ .

$x = - 12$