Solve for x 7+2ax=13

$7 + 2 a x = 13$

Step 1

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

Subtract $7$ from both sides of the equation.

$2 a x = 13 - 7$

Subtract $7$ from $13$ .

$2 a x = 6$

Step 2

Divide each term in $2 a x = 6$ by $2 a$ and simplify.

Divide each term in $2 a x = 6$ by $2 a$ .

$\frac{2 a x}{2 a} = \frac{6}{2 a}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a x}{2 a} = \frac{6}{2 a}$

Rewrite the expression.

$\frac{a x}{a} = \frac{6}{2 a}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a x}{a} = \frac{6}{2 a}$

Divide $x$ by $1$ .

$x = \frac{6}{2 a}$

Simplify the right side.

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6$ .

$x = \frac{2 \cdot 3}{2 a}$

Cancel the common factors.

Factor $2$ out of $2 a$ .

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

Cancel the common factor.

$x = \frac{2 \cdot 3}{2 a}$

Rewrite the expression.

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