Algebra Examples

$\frac{6 x}{2} = 27$

Step 1

Cancel the common factor of $6$ and $2$ .

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Step 1.1

Factor $2$ out of $6 x$ .

$\frac{2 (3 x)}{2} = 27$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $2$ .

$\frac{2 (3 x)}{2 (1)} = 27$

Step 1.2.2

Cancel the common factor.

$\frac{2 (3 x)}{2 \cdot 1} = 27$

Step 1.2.3

Rewrite the expression.

$\frac{3 x}{1} = 27$

Step 1.2.4

Divide $3 x$ by $1$ .

$3 x = 27$

$3 x = 27$

$3 x = 27$

Step 2

Divide each term in $3 x = 27$ by $3$ and simplify.

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Step 2.1

Divide each term in $3 x = 27$ by $3$ .

$\frac{3 x}{3} = \frac{27}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{27}{3}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{27}{3}$

$x = \frac{27}{3}$

$x = \frac{27}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $27$ by $3$ .

$x = 9$

$x = 9$

$x = 9$

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