Pre-Algebra Examples

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

Step 1

Multiply both sides by $6$ .

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

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $(\frac{x}{6} - 2) \cdot 6$ .

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Step 2.1.1.1

Apply the distributive property.

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

Step 2.1.1.2

Cancel the common factor of $6$ .

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Step 2.1.1.2.1

Cancel the common factor.

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

Step 2.1.1.2.2

Rewrite the expression.

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

Step 2.1.1.3

Multiply $- 2$ by $6$ .

$x - 12 = \frac{x}{6} \cdot 6$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$x - 12 = \frac{x}{6} \cdot 6$

Step 2.2.1.2

Rewrite the expression.

$x - 12 = x$

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 $x$ from both sides of the equation.

$x - 12 - x = 0$

Step 3.1.2

Combine the opposite terms in $x - 12 - x$ .

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Step 3.1.2.1

Subtract $x$ from $x$ .

$0 - 12 = 0$

Step 3.1.2.2

Subtract $12$ from $0$ .

$- 12 = 0$

Step 3.2

Since $- 12 \neq 0$ , there are no solutions.

No solution