Solve 0.05=x/100+x

$$0.05 = \frac { x } { 100 + x }$$

Solve for x

$$x = \frac{100}{19} = 5\frac{5}{19} \approx 5.263157895$$

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.

$$0.05\left(x+100\right)=x$$

Use the distributive property to multiply 0.05 by x+100.

$$0.05x+5=x$$

Subtract x from both sides.

$$0.05x+5-x=0$$

Combine 0.05x and -x to get -0.95x.

$$-0.95x+5=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$-0.95x=-5$$

Divide both sides by -0.95.

$$x=\frac{-5}{-0.95}$$

Expand \frac{-5}{-0.95} by multiplying both numerator and the denominator by 100.

$$x=\frac{-500}{-95}$$

Reduce the fraction \frac{-500}{-95} to lowest terms by extracting and canceling out -5.

$$x=\frac{100}{19}$$