Solve 20/100+x=0.15

$$\frac { 20 } { 100 + x } = 0.15$$

Solve for x

$$x = \frac{100}{3} = 33\frac{1}{3} \approx 33.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to -100 since division by zero is not defined. Multiply both sides of the equation by x+100.

$$20=0.15\left(x+100\right)$$

Use the distributive property to multiply 0.15 by x+100.

$$20=0.15x+15$$

Swap sides so that all variable terms are on the left hand side.

$$0.15x+15=20$$

Subtract 15 from both sides.

$$0.15x=20-15$$

Subtract 15 from 20 to get 5.

$$0.15x=5$$

Divide both sides by 0.15.

$$x=\frac{5}{0.15}$$

Expand \frac{5}{0.15} by multiplying both numerator and the denominator by 100.

$$x=\frac{500}{15}$$

Reduce the fraction \frac{500}{15} to lowest terms by extracting and canceling out 5.

$$x=\frac{100}{3}$$