Algebra Examples

$\frac{2}{3} x - 7 y + \frac{1}{3} x + 2 y + 5$

Step 1

Simplify each term.

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Step 1.1

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

$\frac{2 x}{3} - 7 y + \frac{1}{3} x + 2 y + 5$

Step 1.2

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

$\frac{2 x}{3} - 7 y + \frac{x}{3} + 2 y + 5$

$\frac{2 x}{3} - 7 y + \frac{x}{3} + 2 y + 5$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$- 7 y + 2 y + 5 + \frac{2 x + x}{3}$

Step 2.2

Add $2 x$ and $x$ .

$- 7 y + 2 y + 5 + \frac{3 x}{3}$

Step 2.3

Cancel the common factor of $3$ .

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Step 2.3.1

Cancel the common factor.

$- 7 y + 2 y + 5 + \frac{3 x}{3}$

Step 2.3.2

Divide $x$ by $1$ .

$- 7 y + 2 y + 5 + x$

$- 7 y + 2 y + 5 + x$

Step 2.4

Add $- 7 y$ and $2 y$ .

$- 5 y + 5 + x$

$- 5 y + 5 + x$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$