Solve 1.12(1+x%)=1.2

$$1.12(1+x \% )=1.2$$

Solve for x

$$x = \frac{50}{7} = 7\frac{1}{7} \approx 7.142857143$$

Steps for Solving Linear Equation

Divide both sides by 1.12.

$$1+\frac{x}{100}=\frac{1.2}{1.12}$$

Expand \frac{1.2}{1.12} by multiplying both numerator and the denominator by 100.

$$1+\frac{x}{100}=\frac{120}{112}$$

Reduce the fraction \frac{120}{112} to lowest terms by extracting and canceling out 8.

$$1+\frac{x}{100}=\frac{15}{14}$$

Multiply both sides of the equation by 700, the least common multiple of 100,14.

$$700+7x=750$$

Subtract 700 from both sides.

$$7x=750-700$$

Subtract 700 from 750 to get 50.

$$7x=50$$

Divide both sides by 7.

$$x=\frac{50}{7}$$