Solve 30%x+0.5x=2.4

$$30 \% x+0.5x=2.4$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$\frac{3}{10}x+0.5x=2.4$$

Combine \frac{3}{10}x and 0.5x to get \frac{4}{5}x.

$$\frac{4}{5}x=2.4$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$x=2.4\times \frac{5}{4}$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{12}{5}\times \frac{5}{4}$$

Multiply \frac{12}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{12\times 5}{5\times 4}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$x=3$$