Solve 38(1+x%)=36

$$38(1+x \% )=36$$

Solve for x

$$x = -\frac{100}{19} = -5\frac{5}{19} \approx -5.263157895$$

Steps for Solving Linear Equation

Divide both sides by 38.

$$1+\frac{x}{100}=\frac{36}{38}$$

Reduce the fraction \frac{36}{38} to lowest terms by extracting and canceling out 2.

$$1+\frac{x}{100}=\frac{18}{19}$$

Multiply both sides of the equation by 1900, the least common multiple of 100,19.

$$1900+19x=1800$$

Subtract 1900 from both sides.

$$19x=1800-1900$$

Subtract 1900 from 1800 to get -100.

$$19x=-100$$

Divide both sides by 19.

$$x=\frac{-100}{19}$$

Fraction \frac{-100}{19} can be rewritten as -\frac{100}{19} by extracting the negative sign.

$$x=-\frac{100}{19}$$