Algebra Examples

$\frac{2}{3} x + 7 = \frac{5}{6}$

Step 1

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

$\frac{2}{3} x + 7 - \frac{5}{6} = 0$

Step 2

Simplify $\frac{2}{3} x + 7 - \frac{5}{6}$ .

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Step 2.1

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

$\frac{2 x}{3} + 7 - \frac{5}{6} = 0$

Step 2.2

To write $7$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{2 x}{3} + 7 \cdot \frac{6}{6} - \frac{5}{6} = 0$

Step 2.3

Combine $7$ and $\frac{6}{6}$ .

$\frac{2 x}{3} + \frac{7 \cdot 6}{6} - \frac{5}{6} = 0$

Step 2.4

Combine the numerators over the common denominator.

$\frac{2 x}{3} + \frac{7 \cdot 6 - 5}{6} = 0$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $7$ by $6$ .

$\frac{2 x}{3} + \frac{42 - 5}{6} = 0$

Step 2.5.2

Subtract $5$ from $42$ .

$\frac{2 x}{3} + \frac{37}{6} = 0$