Pre-Algebra Examples

$\frac{3}{5} X - 1 = 2$

Step 1

Combine $\frac{3}{5}$ and $X$ .

$\frac{3 X}{5} - 1 = 2$

Step 2

Move all terms not containing $X$ to the right side of the equation.

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Step 2.1

Add $1$ to both sides of the equation.

$\frac{3 X}{5} = 2 + 1$

Step 2.2

Add $2$ and $1$ .

$\frac{3 X}{5} = 3$

Step 3

Multiply both sides of the equation by $\frac{5}{3}$ .

$\frac{5}{3} \cdot \frac{3 X}{5} = \frac{5}{3} \cdot 3$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $\frac{5}{3} \cdot \frac{3 X}{5}$ .

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Step 4.1.1.1

Cancel the common factor of $5$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{5}{3} \cdot \frac{3 X}{5} = \frac{5}{3} \cdot 3$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{3} (3 X) = \frac{5}{3} \cdot 3$

Step 4.1.1.2

Cancel the common factor of $3$ .

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Step 4.1.1.2.1

Factor $3$ out of $3 X$ .

$\frac{1}{3} (3 (X)) = \frac{5}{3} \cdot 3$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{3} (3 X) = \frac{5}{3} \cdot 3$

Step 4.1.1.2.3

Rewrite the expression.

$X = \frac{5}{3} \cdot 3$

Step 4.2

Simplify the right side.

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Step 4.2.1

Cancel the common factor of $3$ .

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Step 4.2.1.1

Cancel the common factor.

$X = \frac{5}{3} \cdot 3$

Step 4.2.1.2

Rewrite the expression.

$X = 5$