Solve 1.25+(45-x)/x=0.1

$$\frac { 1.25 + ( 45 - x ) } { x } = 0.1$$

Solve for x

$$x = \frac{925}{22} = 42\frac{1}{22} \approx 42.045454545$$

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.

$$1.25+45-x=0.1x$$

Add 1.25 and 45 to get 46.25.

$$46.25-x=0.1x$$

Subtract 0.1x from both sides.

$$46.25-x-0.1x=0$$

Combine -x and -0.1x to get -1.1x.

$$46.25-1.1x=0$$

Subtract 46.25 from both sides. Anything subtracted from zero gives its negation.

$$-1.1x=-46.25$$

Divide both sides by -1.1.

$$x=\frac{-46.25}{-1.1}$$

Expand \frac{-46.25}{-1.1} by multiplying both numerator and the denominator by 100.

$$x=\frac{-4625}{-110}$$

Reduce the fraction \frac{-4625}{-110} to lowest terms by extracting and canceling out -5.

$$x=\frac{925}{22}$$