Algebra Examples

$\frac{3}{4} x + \frac{2}{8} x = \frac{48}{8}$

Step 1

Simplify $\frac{3}{4} x + \frac{2}{8} x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Combine $\frac{3}{4}$ and $x$ .

$\frac{3 x}{4} + \frac{2}{8} x = \frac{48}{8}$

Step 1.1.2

Cancel the common factor of $2$ and $8$ .

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Step 1.1.2.1

Factor $2$ out of $2$ .

$\frac{3 x}{4} + \frac{2 (1)}{8} x = \frac{48}{8}$

Step 1.1.2.2

Cancel the common factors.

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Step 1.1.2.2.1

Factor $2$ out of $8$ .

$\frac{3 x}{4} + \frac{2 \cdot 1}{2 \cdot 4} x = \frac{48}{8}$

Step 1.1.2.2.2

Cancel the common factor.

$\frac{3 x}{4} + \frac{2 \cdot 1}{2 \cdot 4} x = \frac{48}{8}$

Step 1.1.2.2.3

Rewrite the expression.

$\frac{3 x}{4} + \frac{1}{4} x = \frac{48}{8}$

Step 1.1.3

Combine $\frac{1}{4}$ and $x$ .

$\frac{3 x}{4} + \frac{x}{4} = \frac{48}{8}$

Step 1.2

Simplify terms.

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Step 1.2.1

Combine the numerators over the common denominator.

$\frac{3 x + x}{4} = \frac{48}{8}$

Step 1.2.2

Add $3 x$ and $x$ .

$\frac{4 x}{4} = \frac{48}{8}$

Step 1.2.3

Cancel the common factor of $4$ .

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Step 1.2.3.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{48}{8}$

Step 1.2.3.2

Divide $x$ by $1$ .

$x = \frac{48}{8}$

Step 2

Divide $48$ by $8$ .

$x = 6$