Solve for x 6/7x+4/14x=48/14

$\frac{6}{7} x + \frac{4}{14} x = \frac{48}{14}$

Step 1

Simplify $\frac{6}{7} x + \frac{4}{14} x$ .

Simplify each term.

Combine $\frac{6}{7}$ and $x$ .

$\frac{6 x}{7} + \frac{4}{14} x = \frac{48}{14}$

Cancel the common factor of $4$ and $14$ .

Factor $2$ out of $4$ .

$\frac{6 x}{7} + \frac{2 (2)}{14} x = \frac{48}{14}$

Cancel the common factors.

Factor $2$ out of $14$ .

$\frac{6 x}{7} + \frac{2 \cdot 2}{2 \cdot 7} x = \frac{48}{14}$

Cancel the common factor.

$\frac{6 x}{7} + \frac{2 \cdot 2}{2 \cdot 7} x = \frac{48}{14}$

Rewrite the expression.

$\frac{6 x}{7} + \frac{2}{7} x = \frac{48}{14}$

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

$\frac{6 x}{7} + \frac{2 x}{7} = \frac{48}{14}$

Simplify terms.

Combine the numerators over the common denominator.

$\frac{6 x + 2 x}{7} = \frac{48}{14}$

Add $6 x$ and $2 x$ .

$\frac{8 x}{7} = \frac{48}{14}$

Step 2

Cancel the common factor of $48$ and $14$ .

Factor $2$ out of $48$ .

$\frac{8 x}{7} = \frac{2 (24)}{14}$

Cancel the common factors.

Factor $2$ out of $14$ .

$\frac{8 x}{7} = \frac{2 \cdot 24}{2 \cdot 7}$

Cancel the common factor.

$\frac{8 x}{7} = \frac{2 \cdot 24}{2 \cdot 7}$

Rewrite the expression.

$\frac{8 x}{7} = \frac{24}{7}$

Step 3

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$8 x = 24$

Step 4

Divide each term in $8 x = 24$ by $8$ and simplify.

Divide each term in $8 x = 24$ by $8$ .

$\frac{8 x}{8} = \frac{24}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{24}{8}$

Divide $x$ by $1$ .

$x = \frac{24}{8}$

Simplify the right side.

Divide $24$ by $8$ .

$x = 3$

Solve for x 6/7x+4/14x=48/14

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