Solve x/x+8=1/1.5

$$\frac{ x }{ x+8 } = \frac{ 1 }{ 1.5 }$$

Solve for x

$$x=16$$

Steps for Solving Linear Equation

Variable x cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by x+8.

$$x=\left(x+8\right)\times \frac{1}{1.5}$$

Expand \frac{1}{1.5} by multiplying both numerator and the denominator by 10.

$$x=\left(x+8\right)\times \frac{10}{15}$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

$$x=\left(x+8\right)\times \frac{2}{3}$$

Use the distributive property to multiply x+8 by \frac{2}{3}.

$$x=\frac{2}{3}x+\frac{16}{3}$$

Subtract \frac{2}{3}x from both sides.

$$x-\frac{2}{3}x=\frac{16}{3}$$

Combine x and -\frac{2}{3}x to get \frac{1}{3}x.

$$\frac{1}{3}x=\frac{16}{3}$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x=\frac{16}{3}\times 3$$

Multiply \frac{16}{3} and 3 to get 16.

$$x=16$$