Solve for x (3x)/y=(6g)/b

$\frac{3 x}{y} = \frac{6 g}{b}$

Step 1

Multiply both sides by $y$ .

$\frac{3 x}{y} y = \frac{6 g}{b} y$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{3 x}{y} y = \frac{6 g}{b} y$

Rewrite the expression.

$3 x = \frac{6 g}{b} y$

Simplify the right side.

Combine $\frac{6 g}{b}$ and $y$ .

$3 x = \frac{6 g y}{b}$

Step 3

Divide each term in $3 x = \frac{6 g y}{b}$ by $3$ and simplify.

Divide each term in $3 x = \frac{6 g y}{b}$ by $3$ .

$\frac{3 x}{3} = \frac{\frac{6 g y}{b}}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{\frac{6 g y}{b}}{3}$

Divide $x$ by $1$ .

$x = \frac{\frac{6 g y}{b}}{3}$

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{6 g y}{b} \cdot \frac{1}{3}$

Cancel the common factor of $3$ .

Factor $3$ out of $6 g y$ .

$x = \frac{3 (2 g y)}{b} \cdot \frac{1}{3}$

Cancel the common factor.

$x = \frac{3 (2 g y)}{b} \cdot \frac{1}{3}$

Rewrite the expression.

$x = \frac{2 g y}{b}$