Solve x+10/100+x=0.2

$$\frac { x + 10 } { 100 + x } = 0.2$$

Solve for x

$$x=12.5$$

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.

$$x+10=0.2\left(x+100\right)$$

Use the distributive property to multiply 0.2 by x+100.

$$x+10=0.2x+20$$

Subtract 0.2x from both sides.

$$x+10-0.2x=20$$

Combine x and -0.2x to get 0.8x.

$$0.8x+10=20$$

Subtract 10 from both sides.

$$0.8x=20-10$$

Subtract 10 from 20 to get 10.

$$0.8x=10$$

Divide both sides by 0.8.

$$x=\frac{10}{0.8}$$

Expand \frac{10}{0.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{100}{8}$$

Reduce the fraction \frac{100}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{25}{2}$$