Algebra Examples

$\frac{x}{3} = x + 2$

Step 1

Multiply both sides by $3$ .

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

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $3$ .

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Step 2.1.1.1

Cancel the common factor.

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

Step 2.1.1.2

Rewrite the expression.

$x = (x + 2) \cdot 3$

$x = (x + 2) \cdot 3$

$x = (x + 2) \cdot 3$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $(x + 2) \cdot 3$ .

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Step 2.2.1.1

Apply the distributive property.

$x = x \cdot 3 + 2 \cdot 3$

Step 2.2.1.2

Simplify the expression.

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Step 2.2.1.2.1

Move $3$ to the left of $x$ .

$x = 3 \cdot x + 2 \cdot 3$

Step 2.2.1.2.2

Multiply $2$ by $3$ .

$x = 3 x + 6$

$x = 3 x + 6$

$x = 3 x + 6$

$x = 3 x + 6$

$x = 3 x + 6$

Step 3

Solve for $x$ .

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Step 3.1

Move all terms containing $x$ to the left side of the equation.

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Step 3.1.1

Subtract $3 x$ from both sides of the equation.

$x - 3 x = 6$

Step 3.1.2

Subtract $3 x$ from $x$ .

$- 2 x = 6$

$- 2 x = 6$

Step 3.2

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

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Step 3.2.1

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

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

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $- 2$ .

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Step 3.2.2.1.1

Cancel the common factor.

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

Step 3.2.2.1.2

Divide $x$ by $1$ .

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

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

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

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $6$ by $- 2$ .

$x = - 3$

$x = - 3$

$x = - 3$

$x = - 3$

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