Algebra Examples

$6 (5 x - 2) + 12 = 30$

Step 1

Simplify $6 (5 x - 2) + 12$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$6 (5 x) + 6 \cdot - 2 + 12 = 30$

Step 1.1.2

Multiply $5$ by $6$ .

$30 x + 6 \cdot - 2 + 12 = 30$

Step 1.1.3

Multiply $6$ by $- 2$ .

$30 x - 12 + 12 = 30$

$30 x - 12 + 12 = 30$

Step 1.2

Combine the opposite terms in $30 x - 12 + 12$ .

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Step 1.2.1

Add $- 12$ and $12$ .

$30 x + 0 = 30$

Step 1.2.2

Add $30 x$ and $0$ .

$30 x = 30$

$30 x = 30$

$30 x = 30$

Step 2

Divide each term in $30 x = 30$ by $30$ and simplify.

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Step 2.1

Divide each term in $30 x = 30$ by $30$ .

$\frac{30 x}{30} = \frac{30}{30}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $30$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{30 x}{30} = \frac{30}{30}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{30}{30}$

$x = \frac{30}{30}$

$x = \frac{30}{30}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $30$ by $30$ .

$x = 1$

$x = 1$

$x = 1$

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