Algebra Examples

$x \frac{2}{3} - x \frac{1}{3} + 4 = 6$

Step 1

Subtract $6$ from both sides of the equation.

$x \frac{2}{3} - x \frac{1}{3} + 4 - 6 = 0$

Step 2

Simplify $x \frac{2}{3} - x \frac{1}{3} + 4 - 6$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

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

$\frac{x \cdot 2}{3} - x \frac{1}{3} + 4 - 6 = 0$

Step 2.1.2

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

$\frac{2 \cdot x}{3} - x \frac{1}{3} + 4 - 6 = 0$

Step 2.1.3

Combine $\frac{1}{3}$ and $x$ .

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 2.3

Subtract $x$ from $2 x$ .

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

Step 2.4

Subtract $6$ from $4$ .

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