Solve 32%x+16%=1.44-12%x

$$32 \% x + 16 \% = 1.44 - 12 \% x$$

Solve for x

$$x = \frac{32}{11} = 2\frac{10}{11} \approx 2.909090909$$

Steps for Solving Linear Equation

Reduce the fraction \frac{32}{100} to lowest terms by extracting and canceling out 4.

$$\frac{8}{25}x+\frac{16}{100}=1.44-\frac{12}{100}x$$

Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.

$$\frac{8}{25}x+\frac{4}{25}=1.44-\frac{12}{100}x$$

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{8}{25}x+\frac{4}{25}=1.44-\frac{3}{25}x$$

Add \frac{3}{25}x to both sides.

$$\frac{8}{25}x+\frac{4}{25}+\frac{3}{25}x=1.44$$

Combine \frac{8}{25}x and \frac{3}{25}x to get \frac{11}{25}x.

$$\frac{11}{25}x+\frac{4}{25}=1.44$$

Subtract \frac{4}{25} from both sides.

$$\frac{11}{25}x=1.44-\frac{4}{25}$$

Convert decimal number 1.44 to fraction \frac{144}{100}. Reduce the fraction \frac{144}{100} to lowest terms by extracting and canceling out 4.

$$\frac{11}{25}x=\frac{36}{25}-\frac{4}{25}$$

Since \frac{36}{25} and \frac{4}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{25}x=\frac{36-4}{25}$$

Subtract 4 from 36 to get 32.

$$\frac{11}{25}x=\frac{32}{25}$$

Multiply both sides by \frac{25}{11}, the reciprocal of \frac{11}{25}.

$$x=\frac{32}{25}\times \frac{25}{11}$$

Multiply \frac{32}{25} times \frac{25}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{32\times 25}{25\times 11}$$

Cancel out 25 in both numerator and denominator.

$$x=\frac{32}{11}$$