Algebra Examples

$\frac{17}{3} x + 17 - \frac{2}{3} x - 15$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{17}{3}$ and $x$ .

$\frac{17 x}{3} + 17 - \frac{2}{3} x - 15$

Step 1.2

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

$\frac{17 x}{3} + 17 - \frac{x \cdot 2}{3} - 15$

Step 1.3

Move $2$ to the left of $x$ .

$\frac{17 x}{3} + 17 - \frac{2 x}{3} - 15$

$\frac{17 x}{3} + 17 - \frac{2 x}{3} - 15$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$17 - 15 + \frac{17 x - 2 x}{3}$

Step 2.2

Subtract $2 x$ from $17 x$ .

$17 - 15 + \frac{15 x}{3}$

Step 2.3

Cancel the common factor of $15$ and $3$ .

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Step 2.3.1

Factor $3$ out of $15 x$ .

$17 - 15 + \frac{3 (5 x)}{3}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $3$ out of $3$ .

$17 - 15 + \frac{3 (5 x)}{3 (1)}$

Step 2.3.2.2

Cancel the common factor.

$17 - 15 + \frac{3 (5 x)}{3 \cdot 1}$

Step 2.3.2.3

Rewrite the expression.

$17 - 15 + \frac{5 x}{1}$

Step 2.3.2.4

Divide $5 x$ by $1$ .

$17 - 15 + 5 x$

$17 - 15 + 5 x$

$17 - 15 + 5 x$

Step 2.4

Subtract $15$ from $17$ .

$2 + 5 x$

$2 + 5 x$

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