Solve for x (x+3)/4=7/8

$\frac{x + 3}{4} = \frac{7}{8}$

Step 1

Multiply both sides of the equation by $4$ .

$4 \frac{x + 3}{4} = 4 (\frac{7}{8})$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{x + 3}{4} = 4 (\frac{7}{8})$

Rewrite the expression.

$x + 3 = 4 (\frac{7}{8})$

Simplify the right side.

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

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

Subtract $3$ from both sides of the equation.

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

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

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

Combine $- 3$ and $\frac{2}{2}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 3$ by $2$ .

$x = \frac{7 - 6}{2}$

Subtract $6$ from $7$ .

$x = \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$