Solve 1/x=3.6/x+15

$$\frac { 1 } { x } = \frac { 3.6 } { x + 15 }$$

Solve for x

$$x = \frac{75}{13} = 5\frac{10}{13} \approx 5.769230769$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -15,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+15\right), the least common multiple of x,x+15.

$$x+15=x\times 3.6$$

Subtract x\times 3.6 from both sides.

$$x+15-x\times 3.6=0$$

Combine x and -x\times 3.6 to get -2.6x.

$$-2.6x+15=0$$

Subtract 15 from both sides. Anything subtracted from zero gives its negation.

$$-2.6x=-15$$

Divide both sides by -2.6.

$$x=\frac{-15}{-2.6}$$

Expand \frac{-15}{-2.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{-150}{-26}$$

Reduce the fraction \frac{-150}{-26} to lowest terms by extracting and canceling out -2.

$$x=\frac{75}{13}$$