Solve for x 7x+52=2x-13

$7 x + 52 = 2 x - 13$

Step 1

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

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

$7 x + 52 - 2 x = - 13$

Subtract $2 x$ from $7 x$ .

$5 x + 52 = - 13$

Step 2

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

Subtract $52$ from both sides of the equation.

$5 x = - 13 - 52$

Subtract $52$ from $- 13$ .

$5 x = - 65$

Step 3

Divide each term in $5 x = - 65$ by $5$ and simplify.

Divide each term in $5 x = - 65$ by $5$ .

$\frac{5 x}{5} = \frac{- 65}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 65}{5}$

Divide $x$ by $1$ .

$x = \frac{- 65}{5}$

Simplify the right side.

Divide $- 65$ by $5$ .

$x = - 13$