Solve 30%text{of}x+16000=70%text{of}x

$$30 \% \text { of } x + 16000 = 70 \% \text { of } x$$

Solve for x

$$x=40000$$

Steps for Solving Linear Equation

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{3}{10}x+16000=\frac{70}{100}x$$

Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.

$$\frac{3}{10}x+16000=\frac{7}{10}x$$

Subtract \frac{7}{10}x from both sides.

$$\frac{3}{10}x+16000-\frac{7}{10}x=0$$

Combine \frac{3}{10}x and -\frac{7}{10}x to get -\frac{2}{5}x.

$$-\frac{2}{5}x+16000=0$$

Subtract 16000 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{2}{5}x=-16000$$

Multiply both sides by -\frac{5}{2}, the reciprocal of -\frac{2}{5}.

$$x=-16000\left(-\frac{5}{2}\right)$$

Express -16000\left(-\frac{5}{2}\right) as a single fraction.

$$x=\frac{-16000\left(-5\right)}{2}$$

Multiply -16000 and -5 to get 80000.

$$x=\frac{80000}{2}$$

Divide 80000 by 2 to get 40000.

$$x=40000$$