Solve for x 3/4x+2/8x=48/8

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

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

Simplify each term.

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

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

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

Factor $2$ out of $2$ .

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

Cancel the common factors.

Factor $2$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Simplify terms.

Combine the numerators over the common denominator.

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

Add $3 x$ and $x$ .

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

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Divide $48$ by $8$ .

$x = 6$