Algebra Examples

- 4 (3 - 2 x) + 2 x = 2 x - 8

$- 4 (3 - 2 x) + 2 x = 2 x - 8$

Step 1

Simplify

- 4 (3 - 2 x) + 2 x

$- 4 (3 - 2 x) + 2 x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

- 4 \cdot 3 - 4 (- 2 x) + 2 x = 2 x - 8

$- 4 \cdot 3 - 4 (- 2 x) + 2 x = 2 x - 8$

Step 1.1.2

Multiply

- 4

$- 4$ by

3

$3$ .

- 12 - 4 (- 2 x) + 2 x = 2 x - 8

$- 12 - 4 (- 2 x) + 2 x = 2 x - 8$

Step 1.1.3

Multiply

- 2

$- 2$ by

- 4

$- 4$ .

- 12 + 8 x + 2 x = 2 x - 8

$- 12 + 8 x + 2 x = 2 x - 8$

- 12 + 8 x + 2 x = 2 x - 8

$- 12 + 8 x + 2 x = 2 x - 8$

Step 1.2

Add

8 x

$8 x$ and

2 x

$2 x$ .

- 12 + 10 x = 2 x - 8

$- 12 + 10 x = 2 x - 8$

- 12 + 10 x = 2 x - 8

$- 12 + 10 x = 2 x - 8$

Step 2

Move all terms containing

x

$x$ to the left side of the equation.

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Step 2.1

Subtract

2 x

$2 x$ from both sides of the equation.

- 12 + 10 x - 2 x = - 8

$- 12 + 10 x - 2 x = - 8$

Step 2.2

Subtract

2 x

$2 x$ from

10 x

$10 x$ .

- 12 + 8 x = - 8

$- 12 + 8 x = - 8$

- 12 + 8 x = - 8

$- 12 + 8 x = - 8$

Step 3

Move all terms not containing

x

$x$ to the right side of the equation.

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Step 3.1

Add

12

$12$ to both sides of the equation.

8 x = - 8 + 12

$8 x = - 8 + 12$

Step 3.2

Add

- 8

$- 8$ and

12

$12$ .

8 x = 4

$8 x = 4$

8 x = 4

$8 x = 4$

Step 4

Divide each term in

8 x = 4

$8 x = 4$ by

8

$8$ and simplify.

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Step 4.1

Divide each term in

8 x = 4

$8 x = 4$ by

8

$8$ .

\frac{8 x}{8} = \frac{4}{8}

$\frac{8 x}{8} = \frac{4}{8}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of

8

$8$ .

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Step 4.2.1.1

Cancel the common factor.

\frac{8 x}{8} = \frac{4}{8}

$\frac{8 x}{8} = \frac{4}{8}$

Step 4.2.1.2

Divide

x

$x$ by

1

$1$ .

x = \frac{4}{8}

$x = \frac{4}{8}$

x = \frac{4}{8}

$x = \frac{4}{8}$

x = \frac{4}{8}

$x = \frac{4}{8}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of

4

$4$ and

8

$8$ .

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Step 4.3.1.1

Factor

4

$4$ out of

4

$4$ .

x = \frac{4 (1)}{8}

$x = \frac{4 (1)}{8}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor

4

$4$ out of

8

$8$ .

x = \frac{4 \cdot 1}{4 \cdot 2}

$x = \frac{4 \cdot 1}{4 \cdot 2}$

Step 4.3.1.2.2

Cancel the common factor.

x = \frac{4 \cdot 1}{4 \cdot 2}

$x = \frac{4 \cdot 1}{4 \cdot 2}$

Step 4.3.1.2.3

Rewrite the expression.

x = \frac{1}{2}

$x = \frac{1}{2}$

x = \frac{1}{2}

$x = \frac{1}{2}$

x = \frac{1}{2}

$x = \frac{1}{2}$

x = \frac{1}{2}

$x = \frac{1}{2}$

x = \frac{1}{2}

$x = \frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

x = \frac{1}{2}

$x = \frac{1}{2}$

Decimal Form:

x = 0.5

$x = 0.5$

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

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