Algebra Examples

$6 \div x = 3$

Step 1

Multiply both sides by $x$ .

$6 \div x x = 3 x$

Step 2

Simplify the left side.

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Step 2.1

Simplify $6 \div x x$ .

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Step 2.1.1

Rewrite the division as a fraction.

$\frac{6}{x} x = 3 x$

Step 2.1.2

Cancel the common factor of $x$ .

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Step 2.1.2.1

Cancel the common factor.

$\frac{6}{x} x = 3 x$

Step 2.1.2.2

Rewrite the expression.

$6 = 3 x$

$6 = 3 x$

$6 = 3 x$

$6 = 3 x$

Step 3

Solve for $x$ .

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Step 3.1

Rewrite the equation as $3 x = 6$ .

$3 x = 6$

Step 3.2

Divide each term in $3 x = 6$ by $3$ and simplify.

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Step 3.2.1

Divide each term in $3 x = 6$ by $3$ .

$\frac{3 x}{3} = \frac{6}{3}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $3$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{6}{3}$

Step 3.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{6}{3}$

$x = \frac{6}{3}$

$x = \frac{6}{3}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $6$ by $3$ .

$x = 2$

$x = 2$

$x = 2$

$x = 2$

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