Algebra Examples

\frac{2}{3} x + 15 = 17

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

Step 1

Combine

\frac{2}{3}

$\frac{2}{3}$ and

x

$x$ .

\frac{2 x}{3} + 15 = 17

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

Step 2

Move all terms not containing

x

$x$ to the right side of the equation.

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Step 2.1

Subtract

15

$15$ from both sides of the equation.

\frac{2 x}{3} = 17 - 15

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

Step 2.2

Subtract

15

$15$ from

17

$17$ .

\frac{2 x}{3} = 2

$\frac{2 x}{3} = 2$

\frac{2 x}{3} = 2

$\frac{2 x}{3} = 2$

Step 3

Multiply both sides of the equation by

\frac{3}{2}

$\frac{3}{2}$ .

\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} \cdot 2

$\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} \cdot 2$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify

\frac{3}{2} \cdot \frac{2 x}{3}

$\frac{3}{2} \cdot \frac{2 x}{3}$ .

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Step 4.1.1.1

Cancel the common factor of

3

$3$ .

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Step 4.1.1.1.1

Cancel the common factor.

\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} \cdot 2

$\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} \cdot 2$

Step 4.1.1.1.2

Rewrite the expression.

\frac{1}{2} (2 x) = \frac{3}{2} \cdot 2

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

\frac{1}{2} (2 x) = \frac{3}{2} \cdot 2

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

Step 4.1.1.2

Cancel the common factor of

2

$2$ .

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Step 4.1.1.2.1

Factor

2

$2$ out of

2 x

$2 x$ .

\frac{1}{2} (2 (x)) = \frac{3}{2} \cdot 2

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

Step 4.1.1.2.2

Cancel the common factor.

\frac{1}{2} (2 x) = \frac{3}{2} \cdot 2

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

Step 4.1.1.2.3

Rewrite the expression.

x = \frac{3}{2} \cdot 2

$x = \frac{3}{2} \cdot 2$

x = \frac{3}{2} \cdot 2

$x = \frac{3}{2} \cdot 2$

x = \frac{3}{2} \cdot 2

$x = \frac{3}{2} \cdot 2$

x = \frac{3}{2} \cdot 2

$x = \frac{3}{2} \cdot 2$

Step 4.2

Simplify the right side.

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Step 4.2.1

Cancel the common factor of

2

$2$ .

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Step 4.2.1.1

Cancel the common factor.

x = \frac{3}{2} \cdot 2

$x = \frac{3}{2} \cdot 2$

Step 4.2.1.2

Rewrite the expression.

x = 3

$x = 3$

x = 3

$x = 3$

x = 3

$x = 3$

x = 3

$x = 3$

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

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