Pre-Algebra Examples

$(\frac{3}{4} x - 1) + (\frac{3}{4} x - 2)$

Step 1

Remove parentheses.

$\frac{3}{4} x - 1 + \frac{3}{4} x - 2$

Step 2

Simplify each term.

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Step 2.1

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

$\frac{3 x}{4} - 1 + \frac{3}{4} x - 2$

Step 2.2

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

$\frac{3 x}{4} - 1 + \frac{3 x}{4} - 2$

$\frac{3 x}{4} - 1 + \frac{3 x}{4} - 2$

Step 3

Simplify terms.

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Step 3.1

Combine the numerators over the common denominator.

$- 1 - 2 + \frac{3 x + 3 x}{4}$

Step 3.2

Add $3 x$ and $3 x$ .

$- 1 - 2 + \frac{6 x}{4}$

Step 3.3

Cancel the common factor of $6$ and $4$ .

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Step 3.3.1

Factor $2$ out of $6 x$ .

$- 1 - 2 + \frac{2 (3 x)}{4}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $2$ out of $4$ .

$- 1 - 2 + \frac{2 (3 x)}{2 (2)}$

Step 3.3.2.2

Cancel the common factor.

$- 1 - 2 + \frac{2 (3 x)}{2 \cdot 2}$

Step 3.3.2.3

Rewrite the expression.

$- 1 - 2 + \frac{3 x}{2}$

$- 1 - 2 + \frac{3 x}{2}$

$- 1 - 2 + \frac{3 x}{2}$

Step 3.4

Subtract $2$ from $- 1$ .

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$