Solve for x 5ax+3ax=4ax+12

$5 a x + 3 a x = 4 a x + 12$

Add $5 a x$ and $3 a x$ .

$8 a x = 4 a x + 12$

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

Subtract $4 a x$ from both sides of the equation.

$8 a x - 4 a x = 12$

Subtract $4 a x$ from $8 a x$ .

$4 a x = 12$

Divide each term in $4 a x = 12$ by $4 a$ and simplify.

Divide each term in $4 a x = 12$ by $4 a$ .

$\frac{4 a x}{4 a} = \frac{12}{4 a}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 a x}{4 a} = \frac{12}{4 a}$

Rewrite the expression.

$\frac{a x}{a} = \frac{12}{4 a}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a x}{a} = \frac{12}{4 a}$

Divide $x$ by $1$ .

$x = \frac{12}{4 a}$

Simplify the right side.

Cancel the common factor of $12$ and $4$ .

Factor $4$ out of $12$ .

$x = \frac{4 \cdot 3}{4 a}$

Cancel the common factors.

Factor $4$ out of $4 a$ .

$x = \frac{4 \cdot 3}{4 (a)}$

Cancel the common factor.

$x = \frac{4 \cdot 3}{4 a}$

Rewrite the expression.

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