Solve 3/8x+1/6x+600=x

$$\frac{ 3 }{ 8 } x+ \frac{ 1 }{ 6 } x+600=x$$

Solve for x

$$x = \frac{14400}{11} = 1309\frac{1}{11} \approx 1309.090909091$$

Steps for Solving Linear Equation

Combine \frac{3}{8}x and \frac{1}{6}x to get \frac{13}{24}x.

$$\frac{13}{24}x+600=x$$

Subtract x from both sides.

$$\frac{13}{24}x+600-x=0$$

Combine \frac{13}{24}x and -x to get -\frac{11}{24}x.

$$-\frac{11}{24}x+600=0$$

Subtract 600 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{11}{24}x=-600$$

Multiply both sides by -\frac{24}{11}, the reciprocal of -\frac{11}{24}.

$$x=-600\left(-\frac{24}{11}\right)$$

Express -600\left(-\frac{24}{11}\right) as a single fraction.

$$x=\frac{-600\left(-24\right)}{11}$$

Multiply -600 and -24 to get 14400.

$$x=\frac{14400}{11}$$