Solve 10(x-10)=-122

$$10 ( x - 10 ) = - 122$$

Solve for x

$$x = -\frac{11}{5} = -2\frac{1}{5} = -2.2$$

Steps for Solving Linear Equation

Divide both sides by 10.

$$x-10=\frac{-122}{10}$$

Reduce the fraction \frac{-122}{10} to lowest terms by extracting and canceling out 2.

$$x-10=-\frac{61}{5}$$

Add 10 to both sides.

$$x=-\frac{61}{5}+10$$

Convert 10 to fraction \frac{50}{5}.

$$x=-\frac{61}{5}+\frac{50}{5}$$

Since -\frac{61}{5} and \frac{50}{5} have the same denominator, add them by adding their numerators.

$$x=\frac{-61+50}{5}$$

Add -61 and 50 to get -11.

$$x=-\frac{11}{5}$$