Solve a-x/a=1-x/21

Evaluate

a - \frac{x}{a} = 1 - \frac{x}{21}

Multiply both sides of the equation by LCD

(a - \frac{x}{a}) \times 21 a = (1 - \frac{x}{21}) \times 21 a

Simplify the equation

More Steps

21 a^{2} - 21 x = (1 - \frac{x}{21}) \times 21 a

Simplify the equation

More Steps

21 a^{2} - 21 x = 21 a - a x

Move the expression to the left side

21 a^{2} - 21 x + a x = 21 a

Move the expression to the right side

- 21 x + a x = 21 a - 21 a^{2}

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

(- 21 + a) x = 21 a - 21 a^{2}

Divide both sides

\frac{( - 21 + a ) x}{- 21 + a} = \frac{21 a - 21 a ^{2}}{- 21 + a}

Solution

x = \frac{21 a - 21 a ^{2}}{- 21 + a}

Solve the equation