Algebra Examples

$4 - \frac{2}{3} x = \frac{5}{6}$

Step 1

Subtract $\frac{5}{6}$ from both sides of the equation.

$4 - \frac{2}{3} x - \frac{5}{6} = 0$

Step 2

Simplify $4 - \frac{2}{3} x - \frac{5}{6}$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

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

$4 - \frac{x \cdot 2}{3} - \frac{5}{6} = 0$

Step 2.1.2

Move $2$ to the left of $x$ .

$4 - \frac{2 x}{3} - \frac{5}{6} = 0$

Step 2.2

To write $4$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$- \frac{2 x}{3} + 4 \cdot \frac{6}{6} - \frac{5}{6} = 0$

Step 2.3

Combine $4$ and $\frac{6}{6}$ .

$- \frac{2 x}{3} + \frac{4 \cdot 6}{6} - \frac{5}{6} = 0$

Step 2.4

Combine the numerators over the common denominator.

$- \frac{2 x}{3} + \frac{4 \cdot 6 - 5}{6} = 0$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $4$ by $6$ .

$- \frac{2 x}{3} + \frac{24 - 5}{6} = 0$

Step 2.5.2

Subtract $5$ from $24$ .

$- \frac{2 x}{3} + \frac{19}{6} = 0$