Solve x+4.5/x=2/1.6

$$\frac{ x+4.5 }{ x } = \frac{ 2 }{ 1.6 }$$

Solve for x

$$x=18$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x+4.5=x\times \frac{2}{1.6}$$

Expand \frac{2}{1.6} by multiplying both numerator and the denominator by 10.

$$x+4.5=x\times \frac{20}{16}$$

Reduce the fraction \frac{20}{16} to lowest terms by extracting and canceling out 4.

$$x+4.5=x\times \frac{5}{4}$$

Subtract x\times \frac{5}{4} from both sides.

$$x+4.5-x\times \frac{5}{4}=0$$

Combine x and -x\times \frac{5}{4} to get -\frac{1}{4}x.

$$-\frac{1}{4}x+4.5=0$$

Subtract 4.5 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{4}x=-4.5$$

Multiply both sides by -4, the reciprocal of -\frac{1}{4}.

$$x=-4.5\left(-4\right)$$

Multiply -4.5 and -4 to get 18.

$$x=18$$