Solve for x 7x+31=4x-11

$7 x + 31 = 4 x - 11$

Step 1

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

Subtract $4 x$ from both sides of the equation.

$7 x + 31 - 4 x = - 11$

Subtract $4 x$ from $7 x$ .

$3 x + 31 = - 11$

Step 2

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

Subtract $31$ from both sides of the equation.

$3 x = - 11 - 31$

Subtract $31$ from $- 11$ .

$3 x = - 42$

Step 3

Divide each term in $3 x = - 42$ by $3$ and simplify.

Divide each term in $3 x = - 42$ by $3$ .

$\frac{3 x}{3} = \frac{- 42}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 42}{3}$

Divide $x$ by $1$ .

$x = \frac{- 42}{3}$

Simplify the right side.

Divide $- 42$ by $3$ .

$x = - 14$