Simplify -3/2x-68+2x+8

$- \frac{3}{2} x - 68 + 2 x + 8$

Simplify each term.

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

$- \frac{x \cdot 3}{2} - 68 + 2 x + 8$

Move $3$ to the left of $x$ .

$- \frac{3 x}{2} - 68 + 2 x + 8$

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

$- \frac{3 x}{2} + 2 x \cdot \frac{2}{2} - 68 + 8$

Combine $2 x$ and $\frac{2}{2}$ .

$- \frac{3 x}{2} + \frac{2 x \cdot 2}{2} - 68 + 8$

Combine the numerators over the common denominator.

$\frac{- 3 x + 2 x \cdot 2}{2} - 68 + 8$

Find the common denominator.

Write $- 68$ as a fraction with denominator $1$ .

$\frac{- 3 x + 2 x \cdot 2}{2} + \frac{- 68}{1} + 8$

Multiply $\frac{- 68}{1}$ by $\frac{2}{2}$ .

$\frac{- 3 x + 2 x \cdot 2}{2} + \frac{- 68}{1} \cdot \frac{2}{2} + 8$

Multiply $\frac{- 68}{1}$ by $\frac{2}{2}$ .

$\frac{- 3 x + 2 x \cdot 2}{2} + \frac{- 68 \cdot 2}{2} + 8$

Write $8$ as a fraction with denominator $1$ .

$\frac{- 3 x + 2 x \cdot 2}{2} + \frac{- 68 \cdot 2}{2} + \frac{8}{1}$

Multiply $\frac{8}{1}$ by $\frac{2}{2}$ .

$\frac{- 3 x + 2 x \cdot 2}{2} + \frac{- 68 \cdot 2}{2} + \frac{8}{1} \cdot \frac{2}{2}$

Multiply $\frac{8}{1}$ by $\frac{2}{2}$ .

$\frac{- 3 x + 2 x \cdot 2}{2} + \frac{- 68 \cdot 2}{2} + \frac{8 \cdot 2}{2}$

Combine the numerators over the common denominator.

$\frac{- 3 x + 2 x \cdot 2 - 68 \cdot 2 + 8 \cdot 2}{2}$

Simplify each term.

Multiply $2$ by $2$ .

$\frac{- 3 x + 4 x - 68 \cdot 2 + 8 \cdot 2}{2}$

Multiply $- 68$ by $2$ .

$\frac{- 3 x + 4 x - 136 + 8 \cdot 2}{2}$

Multiply $8$ by $2$ .

$\frac{- 3 x + 4 x - 136 + 16}{2}$

Simplify by adding terms.

Add $- 3 x$ and $4 x$ .

$\frac{x - 136 + 16}{2}$

Add $- 136$ and $16$ .

$\frac{x - 120}{2}$