Solve 600-x=75/100*x

$$600-x = \frac{ 75 }{ 100 } \times x$$

Solve for x

$$x = \frac{2400}{7} = 342\frac{6}{7} \approx 342.857142857$$

Steps for Solving Linear Equation

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$600-x=\frac{3}{4}x$$

Subtract \frac{3}{4}x from both sides.

$$600-x-\frac{3}{4}x=0$$

Combine -x and -\frac{3}{4}x to get -\frac{7}{4}x.

$$600-\frac{7}{4}x=0$$

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

$$-\frac{7}{4}x=-600$$

Multiply both sides by -\frac{4}{7}, the reciprocal of -\frac{7}{4}.

$$x=-600\left(-\frac{4}{7}\right)$$

Express -600\left(-\frac{4}{7}\right) as a single fraction.

$$x=\frac{-600\left(-4\right)}{7}$$

Multiply -600 and -4 to get 2400.

$$x=\frac{2400}{7}$$