Solve for x x+7/10=-1/5

$x + \frac{7}{10} = - \frac{1}{5}$

Step 1

Subtract $\frac{7}{10}$ from both sides of the equation.

$x = - \frac{1}{5} - \frac{7}{10}$

Step 2

To write $- \frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$x = - \frac{1}{5} \cdot \frac{2}{2} - \frac{7}{10}$

Step 3

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

Multiply $\frac{1}{5}$ by $\frac{2}{2}$ .

$x = - \frac{2}{5 \cdot 2} - \frac{7}{10}$

Multiply $5$ by $2$ .

$x = - \frac{2}{10} - \frac{7}{10}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{- 2 - 7}{10}$

Step 5

Subtract $7$ from $- 2$ .

$x = \frac{- 9}{10}$

Step 6

Move the negative in front of the fraction.

$x = - \frac{9}{10}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{9}{10}$

Decimal Form:

$x = - 0.9$