Simplify (3x)/8+(5x-16)/8

$\frac{3 x}{8} + \frac{5 x - 16}{8}$

Step 1

Combine the numerators over the common denominator.

$\frac{3 x + 5 x - 16}{8}$

Step 2

Add $3 x$ and $5 x$ .

$\frac{8 x - 16}{8}$

Step 3

Cancel the common factor of $8 x - 16$ and $8$ .

Factor $8$ out of $8 x$ .

$\frac{8 (x) - 16}{8}$

Factor $8$ out of $- 16$ .

$\frac{8 (x) + 8 \cdot - 2}{8}$

Factor $8$ out of $8 (x) + 8 (- 2)$ .

$\frac{8 (x - 2)}{8}$

Cancel the common factors.

Factor $8$ out of $8$ .

$\frac{8 (x - 2)}{8 (1)}$

Cancel the common factor.

$\frac{8 (x - 2)}{8 \cdot 1}$

Rewrite the expression.

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

Divide $x - 2$ by $1$ .

$x - 2$