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

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

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$4x-40=5\times 5\left(x-3\right)$$

Multiply 5 and 5 to get 25.

$$4x-40=25\left(x-3\right)$$

Use the distributive property to multiply 25 by x-3.

$$4x-40=25x-75$$

Subtract 25x from both sides.

$$4x-40-25x=-75$$

Combine 4x and -25x to get -21x.

$$-21x-40=-75$$

Add 40 to both sides.

$$-21x=-75+40$$

Add -75 and 40 to get -35.

$$-21x=-35$$

Divide both sides by -21.

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

Reduce the fraction \frac{-35}{-21} to lowest terms by extracting and canceling out -7.

$$x=\frac{5}{3}$$