Finite Math Examples

$4 (3 - \frac{5}{2}) = 2$

Step 1

Subtract $2$ from both sides of the equation.

$4 (3 - \frac{5}{2}) - 2 = 0$

Step 2

Simplify $4 (3 - \frac{5}{2}) - 2$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$4 (3 \cdot \frac{2}{2} - \frac{5}{2}) - 2 = 0$

Step 2.1.2

Combine $3$ and $\frac{2}{2}$ .

$4 (\frac{3 \cdot 2}{2} - \frac{5}{2}) - 2 = 0$

Step 2.1.3

Combine the numerators over the common denominator.

$4 \frac{3 \cdot 2 - 5}{2} - 2 = 0$

Step 2.1.4

Simplify the numerator.

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Step 2.1.4.1

Multiply $3$ by $2$ .

$4 \frac{6 - 5}{2} - 2 = 0$

Step 2.1.4.2

Subtract $5$ from $6$ .

$4 (\frac{1}{2}) - 2 = 0$

Step 2.1.5

Cancel the common factor of $2$ .

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Step 2.1.5.1

Factor $2$ out of $4$ .

$2 (2) \frac{1}{2} - 2 = 0$

Step 2.1.5.2

Cancel the common factor.

$2 \cdot 2 \frac{1}{2} - 2 = 0$

Step 2.1.5.3

Rewrite the expression.

$2 - 2 = 0$

Step 2.2

Subtract $2$ from $2$ .

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true