Solve 23.82*(1+x)=32.18

$$23.82 \times ( 1 + x ) = 32.18$$

Solve for x

$$x=\frac{418}{1191}\approx 0.350965575$$

Steps for Solving Linear Equation

Divide both sides by 23.82.

$$1+x=\frac{32.18}{23.82}$$

Expand \frac{32.18}{23.82} by multiplying both numerator and the denominator by 100.

$$1+x=\frac{3218}{2382}$$

Reduce the fraction \frac{3218}{2382} to lowest terms by extracting and canceling out 2.

$$1+x=\frac{1609}{1191}$$

Subtract 1 from both sides.

$$x=\frac{1609}{1191}-1$$

Convert 1 to fraction \frac{1191}{1191}.

$$x=\frac{1609}{1191}-\frac{1191}{1191}$$

Since \frac{1609}{1191} and \frac{1191}{1191} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{1609-1191}{1191}$$

Subtract 1191 from 1609 to get 418.

$$x=\frac{418}{1191}$$