Solve for x 8x-10=x+11

$8 x - 10 = x + 11$

Step 1

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

Subtract $x$ from both sides of the equation.

$8 x - 10 - x = 11$

Subtract $x$ from $8 x$ .

$7 x - 10 = 11$

Step 2

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

Add $10$ to both sides of the equation.

$7 x = 11 + 10$

Add $11$ and $10$ .

$7 x = 21$

Step 3

Divide each term in $7 x = 21$ by $7$ and simplify.

Divide each term in $7 x = 21$ by $7$ .

$\frac{7 x}{7} = \frac{21}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{21}{7}$

Divide $x$ by $1$ .

$x = \frac{21}{7}$

Simplify the right side.

Divide $21$ by $7$ .

$x = 3$