Solve x/x+5=3.6/9.6

$$\frac{ x }{ x+5 } = \frac{ 3.6 }{ 9.6 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by x+5.

$$x=\left(x+5\right)\times \frac{3.6}{9.6}$$

Expand \frac{3.6}{9.6} by multiplying both numerator and the denominator by 10.

$$x=\left(x+5\right)\times \frac{36}{96}$$

Reduce the fraction \frac{36}{96} to lowest terms by extracting and canceling out 12.

$$x=\left(x+5\right)\times \frac{3}{8}$$

Use the distributive property to multiply x+5 by \frac{3}{8}.

$$x=\frac{3}{8}x+\frac{15}{8}$$

Subtract \frac{3}{8}x from both sides.

$$x-\frac{3}{8}x=\frac{15}{8}$$

Combine x and -\frac{3}{8}x to get \frac{5}{8}x.

$$\frac{5}{8}x=\frac{15}{8}$$

Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.

$$x=\frac{15}{8}\times \frac{8}{5}$$

Multiply \frac{15}{8} and \frac{8}{5} to get 3.

$$x=3$$