Solve for x x+14=7x+32-3x

$x + 14 = 7 x + 32 - 3 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$7 x + 32 - 3 x = x + 14$

Step 2

Subtract $3 x$ from $7 x$ .

$4 x + 32 = x + 14$

Step 3

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

Subtract $x$ from both sides of the equation.

$4 x + 32 - x = 14$

Subtract $x$ from $4 x$ .

$3 x + 32 = 14$

Step 4

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

Subtract $32$ from both sides of the equation.

$3 x = 14 - 32$

Subtract $32$ from $14$ .

$3 x = - 18$

Step 5

Divide each term in $3 x = - 18$ by $3$ and simplify.

Divide each term in $3 x = - 18$ by $3$ .

$\frac{3 x}{3} = \frac{- 18}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 18}{3}$

Divide $x$ by $1$ .

$x = \frac{- 18}{3}$

Simplify the right side.

Divide $- 18$ by $3$ .

$x = - 6$