Solve x/19*3+600-x/8.9=600

$$\frac { x } { 19 \cdot 3 } + \frac { 600 - x } { 8.9 } = 600$$

Solve for x

$$x = -\frac{2701800}{481} = -5617\frac{23}{481} \approx -5617.047817048$$

Steps for Solving Linear Equation

Multiply 19 and 3 to get 57.

$$\frac{x}{57}+\frac{600-x}{8.9}=600$$

Divide each term of 600-x by 8.9 to get \frac{600}{8.9}+\frac{-x}{8.9}.

$$\frac{x}{57}+\frac{600}{8.9}+\frac{-x}{8.9}=600$$

Expand \frac{600}{8.9} by multiplying both numerator and the denominator by 10.

$$\frac{x}{57}+\frac{6000}{89}+\frac{-x}{8.9}=600$$

Divide -x by 8.9 to get -\frac{10}{89}x.

$$\frac{x}{57}+\frac{6000}{89}-\frac{10}{89}x=600$$

Combine \frac{x}{57} and -\frac{10}{89}x to get -\frac{481}{5073}x.

$$-\frac{481}{5073}x+\frac{6000}{89}=600$$

Subtract \frac{6000}{89} from both sides.

$$-\frac{481}{5073}x=600-\frac{6000}{89}$$

Convert 600 to fraction \frac{53400}{89}.

$$-\frac{481}{5073}x=\frac{53400}{89}-\frac{6000}{89}$$

Since \frac{53400}{89} and \frac{6000}{89} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{481}{5073}x=\frac{53400-6000}{89}$$

Subtract 6000 from 53400 to get 47400.

$$-\frac{481}{5073}x=\frac{47400}{89}$$

Multiply both sides by -\frac{5073}{481}, the reciprocal of -\frac{481}{5073}.

$$x=\frac{47400}{89}\left(-\frac{5073}{481}\right)$$

Multiply \frac{47400}{89} times -\frac{5073}{481} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{47400\left(-5073\right)}{89\times 481}$$

Do the multiplications in the fraction \frac{47400\left(-5073\right)}{89\times 481}.

$$x=\frac{-240460200}{42809}$$

Reduce the fraction \frac{-240460200}{42809} to lowest terms by extracting and canceling out 89.

$$x=-\frac{2701800}{481}$$