Solve 112(1+x%)=12

$$112(1+x \% )=12$$

Solve for x

$$x = -\frac{625}{7} = -89\frac{2}{7} \approx -89.285714286$$

Steps for Solving Linear Equation

Divide both sides by 112.

$$1+\frac{x}{100}=\frac{12}{112}$$

Reduce the fraction \frac{12}{112} to lowest terms by extracting and canceling out 4.

$$1+\frac{x}{100}=\frac{3}{28}$$

Multiply both sides of the equation by 700, the least common multiple of 100,28.

$$700+7x=75$$

Subtract 700 from both sides.

$$7x=75-700$$

Subtract 700 from 75 to get -625.

$$7x=-625$$

Divide both sides by 7.

$$x=\frac{-625}{7}$$

Fraction \frac{-625}{7} can be rewritten as -\frac{625}{7} by extracting the negative sign.

$$x=-\frac{625}{7}$$