Solve for x (3x+6)/3=6

$\frac{3 x + 6}{3} = 6$

Cancel the common factor of $3 x + 6$ and $3$ .

Factor $3$ out of $3 x$ .

$\frac{3 (x) + 6}{3} = 6$

Factor $3$ out of $6$ .

$\frac{3 (x) + 3 \cdot 2}{3} = 6$

Factor $3$ out of $3 (x) + 3 (2)$ .

$\frac{3 (x + 2)}{3} = 6$

Cancel the common factors.

Factor $3$ out of $3$ .

$\frac{3 (x + 2)}{3 (1)} = 6$

Cancel the common factor.

$\frac{3 (x + 2)}{3 \cdot 1} = 6$

Rewrite the expression.

$\frac{x + 2}{1} = 6$

Divide $x + 2$ by $1$ .

$x + 2 = 6$

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

Subtract $2$ from both sides of the equation.

$x = 6 - 2$

Subtract $2$ from $6$ .

$x = 4$