Basic Math Examples

$\frac{2 a - 4}{3} = 8$

Step 1

Multiply both sides by $3$ .

$\frac{2 a - 4}{3} \cdot 3 = 8 \cdot 3$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{2 a - 4}{3} \cdot 3$ .

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Step 2.1.1.1

Factor $2$ out of $2 a - 4$ .

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Step 2.1.1.1.1

Factor $2$ out of $2 a$ .

$\frac{2 (a) - 4}{3} \cdot 3 = 8 \cdot 3$

Step 2.1.1.1.2

Factor $2$ out of $- 4$ .

$\frac{2 a + 2 \cdot - 2}{3} \cdot 3 = 8 \cdot 3$

Step 2.1.1.1.3

Factor $2$ out of $2 a + 2 \cdot - 2$ .

$\frac{2 (a - 2)}{3} \cdot 3 = 8 \cdot 3$

$\frac{2 (a - 2)}{3} \cdot 3 = 8 \cdot 3$

Step 2.1.1.2

Cancel the common factor of $3$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{2 (a - 2)}{3} \cdot 3 = 8 \cdot 3$

Step 2.1.1.2.2

Rewrite the expression.

$2 (a - 2) = 8 \cdot 3$

$2 (a - 2) = 8 \cdot 3$

Step 2.1.1.3

Apply the distributive property.

$2 a + 2 \cdot - 2 = 8 \cdot 3$

Step 2.1.1.4

Multiply $2$ by $- 2$ .

$2 a - 4 = 8 \cdot 3$

$2 a - 4 = 8 \cdot 3$

$2 a - 4 = 8 \cdot 3$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $8$ by $3$ .

$2 a - 4 = 24$

$2 a - 4 = 24$

$2 a - 4 = 24$

Step 3

Solve for $a$ .

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Step 3.1

Move all terms not containing $a$ to the right side of the equation.

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Step 3.1.1

Add $4$ to both sides of the equation.

$2 a = 24 + 4$

Step 3.1.2

Add $24$ and $4$ .

$2 a = 28$

$2 a = 28$

Step 3.2

Divide each term in $2 a = 28$ by $2$ and simplify.

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Step 3.2.1

Divide each term in $2 a = 28$ by $2$ .

$\frac{2 a}{2} = \frac{28}{2}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $2$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{2 a}{2} = \frac{28}{2}$

Step 3.2.2.1.2

Divide $a$ by $1$ .

$a = \frac{28}{2}$

$a = \frac{28}{2}$

$a = \frac{28}{2}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $28$ by $2$ .

$a = 14$

$a = 14$

$a = 14$

$a = 14$

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