Solve 25-xdiv1.02=4.2

$$25-x \div 1.02=4.2$$

Solve for x

$$x=21.216$$

Steps for Solving Linear Equation

Subtract 25 from both sides.

$$-\frac{x}{1.02}=4.2-25$$

Subtract 25 from 4.2 to get -20.8.

$$-\frac{x}{1.02}=-20.8$$

Divide both sides by -1.

$$\frac{x}{1.02}=\frac{-20.8}{-1}$$

Expand \frac{-20.8}{-1} by multiplying both numerator and the denominator by 10.

$$\frac{x}{1.02}=\frac{-208}{-10}$$

Reduce the fraction \frac{-208}{-10} to lowest terms by extracting and canceling out -2.

$$\frac{x}{1.02}=\frac{104}{5}$$

Multiply both sides by 1.02.

$$x=\frac{104}{5}\times 1.02$$

Convert decimal number 1.02 to fraction \frac{102}{100}. Reduce the fraction \frac{102}{100} to lowest terms by extracting and canceling out 2.

$$x=\frac{104}{5}\times \frac{51}{50}$$

Multiply \frac{104}{5} times \frac{51}{50} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{104\times 51}{5\times 50}$$

Do the multiplications in the fraction \frac{104\times 51}{5\times 50}.

$$x=\frac{5304}{250}$$

Reduce the fraction \frac{5304}{250} to lowest terms by extracting and canceling out 2.

$$x=\frac{2652}{125}$$