Simplify -3/4x+5x

$- \frac{3}{4} x + 5 x$

Step 1

Simplify each term.

Combine $x$ and $\frac{3}{4}$ .

$- \frac{x \cdot 3}{4} + 5 x$

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

$- \frac{3 x}{4} + 5 x$

Step 2

To write $5 x$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$- \frac{3 x}{4} + 5 x \cdot \frac{4}{4}$

Step 3

Simplify terms.

Combine $5 x$ and $\frac{4}{4}$ .

$- \frac{3 x}{4} + \frac{5 x \cdot 4}{4}$

Combine the numerators over the common denominator.

$\frac{- 3 x + 5 x \cdot 4}{4}$

Step 4

Simplify the numerator.

Factor $x$ out of $- 3 x + 5 x \cdot 4$ .

Factor $x$ out of $- 3 x$ .

$\frac{x \cdot - 3 + 5 x \cdot 4}{4}$

Factor $x$ out of $5 x \cdot 4$ .

$\frac{x \cdot - 3 + x (5 \cdot 4)}{4}$

Factor $x$ out of $x \cdot - 3 + x (5 \cdot 4)$ .

$\frac{x (- 3 + 5 \cdot 4)}{4}$

Multiply $5$ by $4$ .

$\frac{x (- 3 + 20)}{4}$

Add $- 3$ and $20$ .

$\frac{x \cdot 17}{4}$

Step 5

Move $17$ to the left of $x$ .

$\frac{17 x}{4}$