Algebra Examples

$\frac{4}{2} x = 6$

Step 1

Simplify.

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Step 1.1

Reduce the expression $\frac{4}{2}$ by cancelling the common factors.

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Step 1.1.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 2}{2} x = 6$

Step 1.1.2

Factor $2$ out of $2$ .

$\frac{2 \cdot 2}{2 (1)} x = 6$

Step 1.1.3

Cancel the common factor.

$\frac{2 \cdot 2}{2 \cdot 1} x = 6$

Step 1.1.4

Rewrite the expression.

$\frac{2}{1} x = 6$

Step 1.2

Divide $2$ by $1$ .

$2 x = 6$

Step 2

Divide each term in $2 x = 6$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 x = 6$ by $2$ .

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Divide $x$ by $1$ .

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $6$ by $2$ .

$x = 3$