Precalculus Examples

$x - \frac{3}{9} = x + \frac{3}{5}$

Step 1

Cancel the common factor of $3$ and $9$ .

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Step 1.1

Factor $3$ out of $3$ .

$x - \frac{3 (1)}{9} = x + \frac{3}{5}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $9$ .

$x - \frac{3 \cdot 1}{3 \cdot 3} = x + \frac{3}{5}$

Step 1.2.2

Cancel the common factor.

$x - \frac{3 \cdot 1}{3 \cdot 3} = x + \frac{3}{5}$

Step 1.2.3

Rewrite the expression.

$x - \frac{1}{3} = x + \frac{3}{5}$

Step 2

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

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Step 2.1

Subtract $x$ from both sides of the equation.

$x - \frac{1}{3} - x = \frac{3}{5}$

Step 2.2

Combine the opposite terms in $x - \frac{1}{3} - x$ .

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Step 2.2.1

Subtract $x$ from $x$ .

$0 - \frac{1}{3} = \frac{3}{5}$

Step 2.2.2

Subtract $\frac{1}{3}$ from $0$ .

$- \frac{1}{3} = \frac{3}{5}$

Step 3

Since $- \frac{1}{3} \neq \frac{3}{5}$ , there are no solutions.

No solution