Solve (x-3):1.5=8:2.4

$$( x - 3 ) : 1.5 = 8 : 2.4$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Expand \frac{8}{2.4} by multiplying both numerator and the denominator by 10.

$$\frac{x-3}{1.5}=\frac{80}{24}$$

Reduce the fraction \frac{80}{24} to lowest terms by extracting and canceling out 8.

$$\frac{x-3}{1.5}=\frac{10}{3}$$

Divide each term of x-3 by 1.5 to get \frac{x}{1.5}+\frac{-3}{1.5}.

$$\frac{x}{1.5}+\frac{-3}{1.5}=\frac{10}{3}$$

Expand \frac{-3}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{x}{1.5}+\frac{-30}{15}=\frac{10}{3}$$

Divide -30 by 15 to get -2.

$$\frac{x}{1.5}-2=\frac{10}{3}$$

Add 2 to both sides.

$$\frac{x}{1.5}=\frac{10}{3}+2$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{x}{1.5}=\frac{10}{3}+\frac{6}{3}$$

Since \frac{10}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{x}{1.5}=\frac{10+6}{3}$$

Add 10 and 6 to get 16.

$$\frac{x}{1.5}=\frac{16}{3}$$

Multiply both sides by 1.5.

$$x=\frac{16}{3}\times 1.5$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{16}{3}\times \frac{3}{2}$$

Multiply \frac{16}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{16\times 3}{3\times 2}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{16}{2}$$

Divide 16 by 2 to get 8.

$$x=8$$