Algebra Examples

\frac{1}{2} n + 3 = 6

$\frac{1}{2} n + 3 = 6$

Step 1

Combine

\frac{1}{2}

$\frac{1}{2}$ and

n

$n$ .

\frac{n}{2} + 3 = 6

$\frac{n}{2} + 3 = 6$

Step 2

Move all terms not containing

n

$n$ to the right side of the equation.

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Step 2.1

Subtract

3

$3$ from both sides of the equation.

\frac{n}{2} = 6 - 3

$\frac{n}{2} = 6 - 3$

Step 2.2

Subtract

3

$3$ from

6

$6$ .

\frac{n}{2} = 3

$\frac{n}{2} = 3$

\frac{n}{2} = 3

$\frac{n}{2} = 3$

Step 3

Multiply both sides of the equation by

2

$2$ .

2 \frac{n}{2} = 2 \cdot 3

$2 \frac{n}{2} = 2 \cdot 3$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of

2

$2$ .

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Step 4.1.1.1

Cancel the common factor.

$2 \frac{n}{2} = 2 \cdot 3$

Step 4.1.1.2

Rewrite the expression.

$n = 2 \cdot 3$

$n = 2 \cdot 3$

$n = 2 \cdot 3$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply

$2$ by

$3$ .

$n = 6$

$n = 6$

$n = 6$

$\frac{1}{2} n + 3 = 6$

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