Solve 1/16x-7/10=-2

$$\frac { 1 } { 16 } x - \frac { 7 } { 10 } = - 2$$

Solve for x

$$x = -\frac{104}{5} = -20\frac{4}{5} = -20.8$$

Steps for Solving Linear Equation

Add \frac{7}{10} to both sides.

$$\frac{1}{16}x=-2+\frac{7}{10}$$

Convert -2 to fraction -\frac{20}{10}.

$$\frac{1}{16}x=-\frac{20}{10}+\frac{7}{10}$$

Since -\frac{20}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.

$$\frac{1}{16}x=\frac{-20+7}{10}$$

Add -20 and 7 to get -13.

$$\frac{1}{16}x=-\frac{13}{10}$$

Multiply both sides by 16, the reciprocal of \frac{1}{16}.

$$x=-\frac{13}{10}\times 16$$

Express -\frac{13}{10}\times 16 as a single fraction.

$$x=\frac{-13\times 16}{10}$$

Multiply -13 and 16 to get -208.

$$x=\frac{-208}{10}$$

Reduce the fraction \frac{-208}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{104}{5}$$