Solve 0.14*500/500+x=0.1

$$\frac{ 0.14 \cdot 500 }{ 500+x } = 0.1$$

Solve for x

$$x=200$$

Steps for Solving Linear Equation

Variable x cannot be equal to -500 since division by zero is not defined. Multiply both sides of the equation by x+500.

$$0.14\times 500=0.1\left(x+500\right)$$

Multiply 0.14 and 500 to get 70.

$$70=0.1\left(x+500\right)$$

Use the distributive property to multiply 0.1 by x+500.

$$70=0.1x+50$$

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

$$0.1x+50=70$$

Subtract 50 from both sides.

$$0.1x=70-50$$

Subtract 50 from 70 to get 20.

$$0.1x=20$$

Divide both sides by 0.1.

$$x=\frac{20}{0.1}$$

Expand \frac{20}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$x=200$$