Solve 1.25x/4-x=3/5

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

Solve for x

$$x = \frac{48}{37} = 1\frac{11}{37} \approx 1.297297297$$

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 5\left(x-4\right), the least common multiple of 4-x,5.

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

Multiply -5 and 1.25 to get -6.25.

$$-6.25x=3\left(x-4\right)$$

Use the distributive property to multiply 3 by x-4.

$$-6.25x=3x-12$$

Subtract 3x from both sides.

$$-6.25x-3x=-12$$

Combine -6.25x and -3x to get -9.25x.

$$-9.25x=-12$$

Divide both sides by -9.25.

$$x=\frac{-12}{-9.25}$$

Expand \frac{-12}{-9.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{-1200}{-925}$$

Reduce the fraction \frac{-1200}{-925} to lowest terms by extracting and canceling out -25.

$$x=\frac{48}{37}$$