Solve for x -2/15+x=-3/5

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

Add $\frac{2}{15}$ to both sides of the equation.

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

To write $- \frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3}{5}$ by $\frac{3}{3}$ .

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

Multiply $5$ by $3$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 3$ by $3$ .

$x = \frac{- 9 + 2}{15}$

Add $- 9$ and $2$ .

$x = \frac{- 7}{15}$

Move the negative in front of the fraction.

$x = - \frac{7}{15}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{7}{15}$

Decimal Form:

$x = - 0.4\overline{6}$