Solve for x 5x+17=3x+7

$5 x + 17 = 3 x + 7$

Step 1

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

Subtract $3 x$ from both sides of the equation.

$5 x + 17 - 3 x = 7$

Subtract $3 x$ from $5 x$ .

$2 x + 17 = 7$

Step 2

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

Subtract $17$ from both sides of the equation.

$2 x = 7 - 17$

Subtract $17$ from $7$ .

$2 x = - 10$

Step 3

Divide each term in $2 x = - 10$ by $2$ and simplify.

Divide each term in $2 x = - 10$ by $2$ .

$\frac{2 x}{2} = \frac{- 10}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 10}{2}$

Divide $x$ by $1$ .

$x = \frac{- 10}{2}$

Simplify the right side.

Divide $- 10$ by $2$ .

$x = - 5$