Solve for x (60x-30)/5=18

$\frac{60 x - 30}{5} = 18$

Step 1

Cancel the common factor of $60 x - 30$ and $5$ .

Factor $5$ out of $60 x$ .

$\frac{5 (12 x) - 30}{5} = 18$

Factor $5$ out of $- 30$ .

$\frac{5 (12 x) + 5 \cdot - 6}{5} = 18$

Factor $5$ out of $5 (12 x) + 5 (- 6)$ .

$\frac{5 (12 x - 6)}{5} = 18$

Cancel the common factors.

Factor $5$ out of $5$ .

$\frac{5 (12 x - 6)}{5 (1)} = 18$

Cancel the common factor.

$\frac{5 (12 x - 6)}{5 \cdot 1} = 18$

Rewrite the expression.

$\frac{12 x - 6}{1} = 18$

Divide $12 x - 6$ by $1$ .

$12 x - 6 = 18$

Step 2

Solve for $x$ .

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

Add $6$ to both sides of the equation.

$12 x = 18 + 6$

Add $18$ and $6$ .

$12 x = 24$

Divide each term in $12 x = 24$ by $12$ and simplify.

Divide each term in $12 x = 24$ by $12$ .

$\frac{12 x}{12} = \frac{24}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 x}{12} = \frac{24}{12}$

Divide $x$ by $1$ .

$x = \frac{24}{12}$

Simplify the right side.

Divide $24$ by $12$ .

$x = 2$