Solve for x x/a=b/c-1

$\frac{x}{a} = \frac{b}{c} - 1$

Step 1

Multiply both sides by $a$ .

$\frac{x}{a} a = (\frac{b}{c} - 1) a$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{x}{a} a = (\frac{b}{c} - 1) a$

Rewrite the expression.

$x = (\frac{b}{c} - 1) a$

$x = (\frac{b}{c} - 1) a$

$x = (\frac{b}{c} - 1) a$

Simplify the right side.

Simplify $(\frac{b}{c} - 1) a$ .

Apply the distributive property.

$x = \frac{b}{c} a - 1 a$

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

$x = \frac{b a}{c} - 1 a$

Simplify the expression.

Rewrite $- 1 a$ as $- a$ .

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

Reorder $b$ and $a$ .

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

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

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

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

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

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