Solve for x 3-5x=2x-11

$3 - 5 x = 2 x - 11$

Step 1

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

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

$3 - 5 x - 2 x = - 11$

Subtract $2 x$ from $- 5 x$ .

$3 - 7 x = - 11$

Step 2

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

Subtract $3$ from both sides of the equation.

$- 7 x = - 11 - 3$

Subtract $3$ from $- 11$ .

$- 7 x = - 14$

Step 3

Divide each term in $- 7 x = - 14$ by $- 7$ and simplify.

Divide each term in $- 7 x = - 14$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{- 14}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{- 14}{- 7}$

Divide $x$ by $1$ .

$x = \frac{- 14}{- 7}$

Simplify the right side.

Divide $- 14$ by $- 7$ .

$x = 2$