Solve for x b/ax=d/c

$\frac{b}{a} x = \frac{d}{c}$

Combine $\frac{b}{a}$ and $x$ .

$\frac{b x}{a} = \frac{d}{c}$

Multiply each term in $\frac{b x}{a} = \frac{d}{c}$ by $\frac{a}{b}$ to eliminate the fractions.

Multiply each term in $\frac{b x}{a} = \frac{d}{c}$ by $\frac{a}{b}$ .

$\frac{b x}{a} \cdot \frac{a}{b} = \frac{d}{c} \cdot \frac{a}{b}$

Simplify the left side.

Cancel the common factor of $b$ .

Factor $b$ out of $b x$ .

$\frac{b (x)}{a} \cdot \frac{a}{b} = \frac{d}{c} \cdot \frac{a}{b}$

Cancel the common factor.

$\frac{b x}{a} \cdot \frac{a}{b} = \frac{d}{c} \cdot \frac{a}{b}$

Rewrite the expression.

$\frac{x}{a} a = \frac{d}{c} \cdot \frac{a}{b}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{x}{a} a = \frac{d}{c} \cdot \frac{a}{b}$

Rewrite the expression.

$x = \frac{d}{c} \cdot \frac{a}{b}$

Simplify the right side.

Multiply $\frac{d}{c}$ by $\frac{a}{b}$ .

$x = \frac{d a}{c b}$