Finite Math Examples

$\frac{x}{2} - \frac{3}{2} = 4$

Step 1

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

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Step 1.1

Add $\frac{3}{2}$ to both sides of the equation.

$\frac{x}{2} = 4 + \frac{3}{2}$

Step 1.2

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{x}{2} = 4 \cdot \frac{2}{2} + \frac{3}{2}$

Step 1.3

Combine $4$ and $\frac{2}{2}$ .

$\frac{x}{2} = \frac{4 \cdot 2}{2} + \frac{3}{2}$

Step 1.4

Combine the numerators over the common denominator.

$\frac{x}{2} = \frac{4 \cdot 2 + 3}{2}$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $4$ by $2$ .

$\frac{x}{2} = \frac{8 + 3}{2}$

Step 1.5.2

Add $8$ and $3$ .

$\frac{x}{2} = \frac{11}{2}$

Step 2

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$x = 11$