Solve x/45+x=0.2

$$\frac { x } { 45 + x } = 0.2$$

Solve for x

$$x=11.25$$

Steps for Solving Linear Equation

Variable x cannot be equal to -45 since division by zero is not defined. Multiply both sides of the equation by x+45.

$$x=0.2\left(x+45\right)$$

Use the distributive property to multiply 0.2 by x+45.

$$x=0.2x+9$$

Subtract 0.2x from both sides.

$$x-0.2x=9$$

Combine x and -0.2x to get 0.8x.

$$0.8x=9$$

Divide both sides by 0.8.

$$x=\frac{9}{0.8}$$

Expand \frac{9}{0.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{90}{8}$$

Reduce the fraction \frac{90}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{45}{4}$$