Solve for x x/3=x/8+6

$\frac{x}{3} = \frac{x}{8} + 6$

Multiply both sides by $3$ .

$\frac{x}{3} \cdot 3 = (\frac{x}{8} + 6) \cdot 3$

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{x}{3} \cdot 3 = (\frac{x}{8} + 6) \cdot 3$

Rewrite the expression.

$x = (\frac{x}{8} + 6) \cdot 3$

Simplify the right side.

Simplify $(\frac{x}{8} + 6) \cdot 3$ .

Simplify terms.

Apply the distributive property.

$x = \frac{x}{8} \cdot 3 + 6 \cdot 3$

Combine $\frac{x}{8}$ and $3$ .

$x = \frac{x \cdot 3}{8} + 6 \cdot 3$

Multiply $6$ by $3$ .

$x = \frac{x \cdot 3}{8} + 18$

Move $3$ to the left of $x$ .

$x = \frac{3 x}{8} + 18$

Solve for $x$ .

Move all terms containing $x$ to the left side of the equation.

Subtract $\frac{3 x}{8}$ from both sides of the equation.

$x - \frac{3 x}{8} = 18$

To write $x$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$x \cdot \frac{8}{8} - \frac{3 x}{8} = 18$

Combine $x$ and $\frac{8}{8}$ .

$\frac{x \cdot 8}{8} - \frac{3 x}{8} = 18$

Combine the numerators over the common denominator.

$\frac{x \cdot 8 - 3 x}{8} = 18$

Simplify the numerator.

Move $8$ to the left of $x$ .

$\frac{8 \cdot x - 3 x}{8} = 18$

Subtract $3 x$ from $8 x$ .

$\frac{5 x}{8} = 18$

Multiply both sides of the equation by $\frac{8}{5}$ .

$\frac{8}{5} \cdot \frac{5 x}{8} = \frac{8}{5} \cdot 18$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{8}{5} \cdot \frac{5 x}{8}$ .

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8}{5} \cdot \frac{5 x}{8} = \frac{8}{5} \cdot 18$

Rewrite the expression.

$\frac{1}{5} (5 x) = \frac{8}{5} \cdot 18$

Cancel the common factor of $5$ .

Factor $5$ out of $5 x$ .

$\frac{1}{5} (5 (x)) = \frac{8}{5} \cdot 18$

Cancel the common factor.

$\frac{1}{5} (5 x) = \frac{8}{5} \cdot 18$

Rewrite the expression.

$x = \frac{8}{5} \cdot 18$

Simplify the right side.

Multiply $\frac{8}{5} \cdot 18$ .

Combine $\frac{8}{5}$ and $18$ .

$x = \frac{8 \cdot 18}{5}$

Multiply $8$ by $18$ .

$x = \frac{144}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{144}{5}$

Decimal Form:

$x = 28.8$

Mixed Number Form:

$x = 28 \frac{4}{5}$

Solve for x x/3=x/8+6

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