Solve for x 3x+11=6x+8

$3 x + 11 = 6 x + 8$

Step 1

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

Subtract $6 x$ from both sides of the equation.

$3 x + 11 - 6 x = 8$

Subtract $6 x$ from $3 x$ .

$- 3 x + 11 = 8$

Step 2

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

Subtract $11$ from both sides of the equation.

$- 3 x = 8 - 11$

Subtract $11$ from $8$ .

$- 3 x = - 3$

Step 3

Divide each term in $- 3 x = - 3$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 3$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 3}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 3}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 3}{- 3}$

Simplify the right side.

Divide $- 3$ by $- 3$ .

$x = 1$