Solve x/5-2=5(x-3)/4

Evaluate

\frac{x}{5} - 2 = 5 \times \frac{x - 3}{4}

Multiply the terms

\frac{x}{5} - 2 = \frac{5 ( x - 3 )}{4}

Multiply both sides of the equation by LCD

(\frac{x}{5} - 2) \times 20 = \frac{5 ( x - 3 )}{4} \times 20

Simplify the equation

More Steps

4 x - 40 = \frac{5 ( x - 3 )}{4} \times 20

Simplify the equation

More Steps

4 x - 40 = 25 x - 75

Move the expression to the left side

4 x - 40 - 25 x = - 75

Move the expression to the right side

4 x - 25 x = - 75 + 40

Add and subtract

More Steps

- 21 x = - 75 + 40

Add and subtract

- 21 x = - 35

Change the signs on both sides of the equation

21 x = 35

Divide both sides

\frac{21 x}{21} = \frac{35}{21}

Divide the numbers

x = \frac{35}{21}

Solution

x = \frac{5}{3}

Alternative Form

x = 1. \dot{6}

Solve the equation