Solve 12:x=2.4:1.6

$$12 : x = 2.4 : 1.6$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$12=x\times \frac{2.4}{1.6}$$

Expand \frac{2.4}{1.6} by multiplying both numerator and the denominator by 10.

$$12=x\times \frac{24}{16}$$

Reduce the fraction \frac{24}{16} to lowest terms by extracting and canceling out 8.

$$12=x\times \frac{3}{2}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{3}{2}=12$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$x=12\times \frac{2}{3}$$

Express 12\times \frac{2}{3} as a single fraction.

$$x=\frac{12\times 2}{3}$$

Multiply 12 and 2 to get 24.

$$x=\frac{24}{3}$$

Divide 24 by 3 to get 8.

$$x=8$$