Basic Math Examples

a - 2 = \frac{a}{3}

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

Step 1

Multiply both sides by

3

$3$ .

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

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

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify

(a - 2) \cdot 3

$(a - 2) \cdot 3$ .

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Step 2.1.1.1

Apply the distributive property.

a \cdot 3 - 2 \cdot 3 = \frac{a}{3} \cdot 3

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

Step 2.1.1.2

Simplify the expression.

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Step 2.1.1.2.1

Move

3

$3$ to the left of

a

$a$ .

3 \cdot a - 2 \cdot 3 = \frac{a}{3} \cdot 3

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

Step 2.1.1.2.2

Multiply

- 2

$- 2$ by

3

$3$ .

3 a - 6 = \frac{a}{3} \cdot 3

$3 a - 6 = \frac{a}{3} \cdot 3$

3 a - 6 = \frac{a}{3} \cdot 3

$3 a - 6 = \frac{a}{3} \cdot 3$

3 a - 6 = \frac{a}{3} \cdot 3

$3 a - 6 = \frac{a}{3} \cdot 3$

3 a - 6 = \frac{a}{3} \cdot 3

$3 a - 6 = \frac{a}{3} \cdot 3$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of

3

$3$ .

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Step 2.2.1.1

Cancel the common factor.

$3 a - 6 = \frac{a}{3} \cdot 3$

Step 2.2.1.2

Rewrite the expression.

$3 a - 6 = a$

$3 a - 6 = a$

$3 a - 6 = a$

$3 a - 6 = a$

Step 3

Solve for

$a$ .

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Step 3.1

Move all terms containing

$a$ to the left side of the equation.

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Step 3.1.1

Subtract

$a$ from both sides of the equation.

$3 a - 6 - a = 0$

Step 3.1.2

Subtract

$a$ from

$3 a$ .

$2 a - 6 = 0$

$2 a - 6 = 0$

Step 3.2

Add

$6$ to both sides of the equation.

$2 a = 6$

Step 3.3

Divide each term in

$2 a = 6$ by

$2$ and simplify.

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Step 3.3.1

Divide each term in

$2 a = 6$ by

$2$ .

$\frac{2 a}{2} = \frac{6}{2}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of

$2$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{2 a}{2} = \frac{6}{2}$

Step 3.3.2.1.2

Divide

$a$ by

$1$ .

$a = \frac{6}{2}$

$a = \frac{6}{2}$

$a = \frac{6}{2}$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Divide

$6$ by

$2$ .

$a = 3$

$a = 3$

$a = 3$

$a = 3$

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