Solve for x 1/5x-2/3*15=30

$\frac{1}{5} x - \frac{2}{3} \cdot 15 = 30$

Step 1

Simplify each term.

Combine $\frac{1}{5}$ and $x$ .

$\frac{x}{5} - \frac{2}{3} \cdot 15 = 30$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$\frac{x}{5} + \frac{- 2}{3} \cdot 15 = 30$

Factor $3$ out of $15$ .

$\frac{x}{5} + \frac{- 2}{3} \cdot (3 (5)) = 30$

Cancel the common factor.

$\frac{x}{5} + \frac{- 2}{3} \cdot (3 \cdot 5) = 30$

Rewrite the expression.

$\frac{x}{5} - 2 \cdot 5 = 30$

Multiply $- 2$ by $5$ .

$\frac{x}{5} - 10 = 30$

Step 2

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

Add $10$ to both sides of the equation.

$\frac{x}{5} = 30 + 10$

Add $30$ and $10$ .

$\frac{x}{5} = 40$

Step 3

Multiply both sides of the equation by $5$ .

$5 \frac{x}{5} = 5 \cdot 40$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{x}{5} = 5 \cdot 40$

Rewrite the expression.

$x = 5 \cdot 40$

Simplify the right side.

Multiply $5$ by $40$ .

$x = 200$