Algebra Examples

$\frac{x - 4}{3} - 5 = 0$

Step 1

Simplify $\frac{x - 4}{3} - 5$ .

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Step 1.1

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Step 1.2

Simplify terms.

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Step 1.2.1

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.3

Simplify the numerator.

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Step 1.3.1

Multiply $- 5$ by $3$ .

$\frac{x - 4 - 15}{3} = 0$

Step 1.3.2

Subtract $15$ from $- 4$ .

$\frac{x - 19}{3} = 0$

Step 2

Set the numerator equal to zero.

$x - 19 = 0$

Step 3

Add $19$ to both sides of the equation.

$x = 19$