Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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.

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Step 3.1

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

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

Step 3.2

Combine the numerators over the common denominator.

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

Step 4

Simplify the numerator.

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Step 4.1

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

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Step 4.1.1

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

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

Step 4.1.2

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

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

Step 4.1.3

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

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

Step 4.2

Multiply $5$ by $4$ .

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

Step 4.3

Add $- 3$ and $20$ .

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

Step 5

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

$\frac{17 x}{4}$