Solve 168+8/10x=9.5/10x

$$168+ \frac{ 8 }{ 10 } x = \frac{ 9.5 }{ 10 } x$$

Solve for x

$$x=1120$$

Steps for Solving Linear Equation

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$168+\frac{4}{5}x=\frac{9.5}{10}x$$

Expand \frac{9.5}{10} by multiplying both numerator and the denominator by 10.

$$168+\frac{4}{5}x=\frac{95}{100}x$$

Reduce the fraction \frac{95}{100} to lowest terms by extracting and canceling out 5.

$$168+\frac{4}{5}x=\frac{19}{20}x$$

Subtract \frac{19}{20}x from both sides.

$$168+\frac{4}{5}x-\frac{19}{20}x=0$$

Combine \frac{4}{5}x and -\frac{19}{20}x to get -\frac{3}{20}x.

$$168-\frac{3}{20}x=0$$

Subtract 168 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{3}{20}x=-168$$

Multiply both sides by -\frac{20}{3}, the reciprocal of -\frac{3}{20}.

$$x=-168\left(-\frac{20}{3}\right)$$

Express -168\left(-\frac{20}{3}\right) as a single fraction.

$$x=\frac{-168\left(-20\right)}{3}$$

Multiply -168 and -20 to get 3360.

$$x=\frac{3360}{3}$$

Divide 3360 by 3 to get 1120.

$$x=1120$$