Basic Math Examples

5 a - 7 = 3 a + 7

$5 a - 7 = 3 a + 7$

Step 1

Move all terms containing

a

$a$ to the left side of the equation.

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Step 1.1

Subtract

3 a

$3 a$ from both sides of the equation.

5 a - 7 - 3 a = 7

$5 a - 7 - 3 a = 7$

Step 1.2

Subtract

3 a

$3 a$ from

5 a

$5 a$ .

2 a - 7 = 7

$2 a - 7 = 7$

2 a - 7 = 7

$2 a - 7 = 7$

Step 2

Move all terms not containing

a

$a$ to the right side of the equation.

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Step 2.1

Add

7

$7$ to both sides of the equation.

2 a = 7 + 7

$2 a = 7 + 7$

Step 2.2

Add

7

$7$ and

7

$7$ .

2 a = 14

$2 a = 14$

2 a = 14

$2 a = 14$

Step 3

Divide each term in

2 a = 14

$2 a = 14$ by

2

$2$ and simplify.

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Step 3.1

Divide each term in

2 a = 14

$2 a = 14$ by

2

$2$ .

\frac{2 a}{2} = \frac{14}{2}

$\frac{2 a}{2} = \frac{14}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

2

$2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 a}{2} = \frac{14}{2}$

Step 3.2.1.2

Divide

$a$ by

$1$ .

$a = \frac{14}{2}$

$a = \frac{14}{2}$

$a = \frac{14}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$14$ by

$2$ .

$a = 7$

$a = 7$

$a = 7$

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