Solve 75/11+25=90/x-20

$$75 / 11 + 25 = 90 / x - 20$$

Solve for x

$$x = \frac{33}{19} = 1\frac{14}{19} \approx 1.736842105$$

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 11x, the least common multiple of 11,x.

$$11x\times \frac{75}{11}+11x\times 25=11\times 90+11x\left(-20\right)$$

Cancel out 11 and 11.

$$75x+11x\times 25=11\times 90+11x\left(-20\right)$$

Multiply 11 and 25 to get 275.

$$75x+275x=11\times 90+11x\left(-20\right)$$

Combine 75x and 275x to get 350x.

$$350x=11\times 90+11x\left(-20\right)$$

Multiply 11 and 90 to get 990.

$$350x=990+11x\left(-20\right)$$

Multiply 11 and -20 to get -220.

$$350x=990-220x$$

Add 220x to both sides.

$$350x+220x=990$$

Combine 350x and 220x to get 570x.

$$570x=990$$

Divide both sides by 570.

$$x=\frac{990}{570}$$

Reduce the fraction \frac{990}{570} to lowest terms by extracting and canceling out 30.

$$x=\frac{33}{19}$$