Solve x b/a-b=x-b/a b

Evaluate

x \times \frac{b}{a} - b = x - \frac{b}{a} \times b

Multiply the terms

\frac{x b}{a} - b = x - \frac{b}{a} \times b

Multiply the terms

More Steps

\frac{x b}{a} - b = x - \frac{b ^{2}}{a}

Rewrite the expression

\frac{b x}{a} - b = x - \frac{b ^{2}}{a}

Multiply both sides of the equation by LCD

(\frac{b x}{a} - b) a = (x - \frac{b ^{2}}{a}) a

Simplify the equation

More Steps

b x - ab = (x - \frac{b ^{2}}{a}) a

Simplify the equation

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b x - ab = a x - b^{2}

Move the expression to the left side

b x - ab - a x = - b^{2}

Move the expression to the right side

b x - a x = - b^{2} + ab

Collect like terms by calculating the sum or difference of their coefficients

(b - a) x = - b^{2} + ab

Divide both sides

\frac{( b - a ) x}{b - a} = \frac{- b ^{2} + ab}{b - a}

Divide the numbers

x = \frac{- b ^{2} + ab}{b - a}

Solution

More Steps

x = - b

Solve the equation