Solve 1.25x/4-x=5/3

$$\frac { 1.25 x } { 4 - x } = \frac { 5 } { 3 }$$

Solve for x

$$x = \frac{16}{7} = 2\frac{2}{7} \approx 2.285714286$$

Steps for Solving Linear Equation

Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-4\right), the least common multiple of 4-x,3.

$$-3\times 1.25x=5\left(x-4\right)$$

Multiply -3 and 1.25 to get -3.75.

$$-3.75x=5\left(x-4\right)$$

Use the distributive property to multiply 5 by x-4.

$$-3.75x=5x-20$$

Subtract 5x from both sides.

$$-3.75x-5x=-20$$

Combine -3.75x and -5x to get -8.75x.

$$-8.75x=-20$$

Divide both sides by -8.75.

$$x=\frac{-20}{-8.75}$$

Expand \frac{-20}{-8.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{-2000}{-875}$$

Reduce the fraction \frac{-2000}{-875} to lowest terms by extracting and canceling out -125.

$$x=\frac{16}{7}$$