Pre-Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{2}{7}$ and $x$ .

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

Step 1.2

Combine $\frac{5}{7}$ and $x$ .

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

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

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

Step 2.2

Add $2 x$ and $5 x$ .

$\frac{7 x}{7} = 6$

Step 2.3

Cancel the common factor of $7$ .

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Step 2.3.1

Cancel the common factor.

$\frac{7 x}{7} = 6$

Step 2.3.2

Divide $x$ by $1$ .

$x = 6$