Solve 100/x+-100/75=1

$$\frac { 100 } { x } + \frac { - 100 } { 75 } = 1$$

Solve for x

$$x = \frac{300}{7} = 42\frac{6}{7} \approx 42.857142857$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 75x, the least common multiple of x,75.

$$75\times 100+x\left(-100\right)=75x$$

Multiply 75 and 100 to get 7500.

$$7500+x\left(-100\right)=75x$$

Subtract 75x from both sides.

$$7500+x\left(-100\right)-75x=0$$

Combine x\left(-100\right) and -75x to get -175x.

$$7500-175x=0$$

Subtract 7500 from both sides. Anything subtracted from zero gives its negation.

$$-175x=-7500$$

Divide both sides by -175.

$$x=\frac{-7500}{-175}$$

Reduce the fraction \frac{-7500}{-175} to lowest terms by extracting and canceling out -25.

$$x=\frac{300}{7}$$