Pre-Algebra Examples

$\frac{1}{2} x + 3 + \frac{7}{2} x - 5$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} + 3 + \frac{7}{2} x - 5$

Step 1.2

Combine $\frac{7}{2}$ and $x$ .

$\frac{x}{2} + 3 + \frac{7 x}{2} - 5$

$\frac{x}{2} + 3 + \frac{7 x}{2} - 5$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$3 - 5 + \frac{x + 7 x}{2}$

Step 2.2

Add $x$ and $7 x$ .

$3 - 5 + \frac{8 x}{2}$

Step 2.3

Cancel the common factor of $8$ and $2$ .

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Step 2.3.1

Factor $2$ out of $8 x$ .

$3 - 5 + \frac{2 (4 x)}{2}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $2$ out of $2$ .

$3 - 5 + \frac{2 (4 x)}{2 (1)}$

Step 2.3.2.2

Cancel the common factor.

$3 - 5 + \frac{2 (4 x)}{2 \cdot 1}$

Step 2.3.2.3

Rewrite the expression.

$3 - 5 + \frac{4 x}{1}$

Step 2.3.2.4

Divide $4 x$ by $1$ .

$3 - 5 + 4 x$

$3 - 5 + 4 x$

$3 - 5 + 4 x$

Step 2.4

Subtract $5$ from $3$ .

$- 2 + 4 x$

$- 2 + 4 x$

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