Solve for x 1/10+x=2/5

$\frac{1}{10} + x = \frac{2}{5}$

Step 1

Subtract $\frac{1}{10}$ from both sides of the equation.

$x = \frac{2}{5} - \frac{1}{10}$

Step 2

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

$x = \frac{2}{5} \cdot \frac{2}{2} - \frac{1}{10}$

Step 3

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{5}$ by $\frac{2}{2}$ .

$x = \frac{2 \cdot 2}{5 \cdot 2} - \frac{1}{10}$

Multiply $5$ by $2$ .

$x = \frac{2 \cdot 2}{10} - \frac{1}{10}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{2 \cdot 2 - 1}{10}$

Step 5

Simplify the numerator.

Multiply $2$ by $2$ .

$x = \frac{4 - 1}{10}$

Subtract $1$ from $4$ .

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

Step 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.3$