Solve for x 5x-11=7x-3

$5 x - 11 = 7 x - 3$

Step 1

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

Subtract $7 x$ from both sides of the equation.

$5 x - 11 - 7 x = - 3$

Subtract $7 x$ from $5 x$ .

$- 2 x - 11 = - 3$

Step 2

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

Add $11$ to both sides of the equation.

$- 2 x = - 3 + 11$

Add $- 3$ and $11$ .

$- 2 x = 8$

Step 3

Divide each term in $- 2 x = 8$ by $- 2$ and simplify.

Divide each term in $- 2 x = 8$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{8}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{8}{- 2}$

Divide $x$ by $1$ .

$x = \frac{8}{- 2}$

Simplify the right side.

Divide $8$ by $- 2$ .

$x = - 4$