Solve for x x+3/2=-7/4

$x + \frac{3}{2} = - \frac{7}{4}$

Step 1

Subtract $\frac{3}{2}$ from both sides of the equation.

$x = - \frac{7}{4} - \frac{3}{2}$

Step 2

To write $- \frac{3}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$x = - \frac{7}{4} - \frac{3}{2} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3}{2}$ by $\frac{2}{2}$ .

$x = - \frac{7}{4} - \frac{3 \cdot 2}{2 \cdot 2}$

Multiply $2$ by $2$ .

$x = - \frac{7}{4} - \frac{3 \cdot 2}{4}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{- 7 - 3 \cdot 2}{4}$

Step 5

Simplify the numerator.

Multiply $- 3$ by $2$ .

$x = \frac{- 7 - 6}{4}$

Subtract $6$ from $- 7$ .

$x = \frac{- 13}{4}$

Step 6

Move the negative in front of the fraction.

$x = - \frac{13}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{13}{4}$

Decimal Form:

$x = - 3.25$

Mixed Number Form:

$x = - 3 \frac{1}{4}$