Solve for x 3/10x-2/5=2

$\frac{3}{10} x - \frac{2}{5} = 2$

Step 1

Combine $\frac{3}{10}$ and $x$ .

$\frac{3 x}{10} - \frac{2}{5} = 2$

Step 2

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

Add $\frac{2}{5}$ to both sides of the equation.

$\frac{3 x}{10} = 2 + \frac{2}{5}$

To write $2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{3 x}{10} = 2 \cdot \frac{5}{5} + \frac{2}{5}$

Combine $2$ and $\frac{5}{5}$ .

$\frac{3 x}{10} = \frac{2 \cdot 5}{5} + \frac{2}{5}$

Combine the numerators over the common denominator.

$\frac{3 x}{10} = \frac{2 \cdot 5 + 2}{5}$

Simplify the numerator.

Multiply $2$ by $5$ .

$\frac{3 x}{10} = \frac{10 + 2}{5}$

Add $10$ and $2$ .

$\frac{3 x}{10} = \frac{12}{5}$

Step 3

Multiply both sides of the equation by $\frac{10}{3}$ .

$\frac{10}{3} \cdot \frac{3 x}{10} = \frac{10}{3} \cdot \frac{12}{5}$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{10}{3} \cdot \frac{3 x}{10}$ .

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10}{3} \cdot \frac{3 x}{10} = \frac{10}{3} \cdot \frac{12}{5}$

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{10}{3} \cdot \frac{12}{5}$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{10}{3} \cdot \frac{12}{5}$

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{10}{3} \cdot \frac{12}{5}$

Rewrite the expression.

$x = \frac{10}{3} \cdot \frac{12}{5}$

Simplify the right side.

Simplify $\frac{10}{3} \cdot \frac{12}{5}$ .

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$x = \frac{5 (2)}{3} \cdot \frac{12}{5}$

Cancel the common factor.

$x = \frac{5 \cdot 2}{3} \cdot \frac{12}{5}$

Rewrite the expression.

$x = \frac{2}{3} \cdot 12$

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

$x = \frac{2}{3} \cdot (3 (4))$

Cancel the common factor.

$x = \frac{2}{3} \cdot (3 \cdot 4)$

Rewrite the expression.

$x = 2 \cdot 4$

Multiply $2$ by $4$ .

$x = 8$

Solve for x 3/10x-2/5=2

Related Questions

Support LCMGCF.com by disabling your adblocker.