Solve for x 9x+11=7x+1

$9 x + 11 = 7 x + 1$

Step 1

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

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

$9 x + 11 - 7 x = 1$

Subtract $7 x$ from $9 x$ .

$2 x + 11 = 1$

Step 2

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

Subtract $11$ from both sides of the equation.

$2 x = 1 - 11$

Subtract $11$ from $1$ .

$2 x = - 10$

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 $2$ .

$x = - 5$