Basic Math Examples

3 g - 6 (g - 8) = 42

$3 g - 6 (g - 8) = 42$

Step 1

Simplify

3 g - 6 (g - 8)

$3 g - 6 (g - 8)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

3 g - 6 g - 6 \cdot - 8 = 42

$3 g - 6 g - 6 \cdot - 8 = 42$

Step 1.1.2

Multiply

- 6

$- 6$ by

- 8

$- 8$ .

3 g - 6 g + 48 = 42

$3 g - 6 g + 48 = 42$

3 g - 6 g + 48 = 42

$3 g - 6 g + 48 = 42$

Step 1.2

Subtract

6 g

$6 g$ from

3 g

$3 g$ .

- 3 g + 48 = 42

$- 3 g + 48 = 42$

- 3 g + 48 = 42

$- 3 g + 48 = 42$

Step 2

Move all terms not containing

g

$g$ to the right side of the equation.

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Step 2.1

Subtract

48

$48$ from both sides of the equation.

- 3 g = 42 - 48

$- 3 g = 42 - 48$

Step 2.2

Subtract

48

$48$ from

42

$42$ .

- 3 g = - 6

$- 3 g = - 6$

- 3 g = - 6

$- 3 g = - 6$

Step 3

Divide each term in

- 3 g = - 6

$- 3 g = - 6$ by

- 3

$- 3$ and simplify.

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Step 3.1

Divide each term in

- 3 g = - 6

$- 3 g = - 6$ by

- 3

$- 3$ .

\frac{- 3 g}{- 3} = \frac{- 6}{- 3}

$\frac{- 3 g}{- 3} = \frac{- 6}{- 3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

- 3

$- 3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 3 g}{- 3} = \frac{- 6}{- 3}$

Step 3.2.1.2

Divide

$g$ by

$1$ .

$g = \frac{- 6}{- 3}$

$g = \frac{- 6}{- 3}$

$g = \frac{- 6}{- 3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$- 6$ by

$- 3$ .

$g = 2$

$g = 2$

$g = 2$

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