Solve 8(x-4.2)=4

$$8(x-4.2)=4$$

Solve for x

$$x=4.7$$

Steps for Solving Linear Equation

Divide both sides by 8.

$$x-4.2=\frac{4}{8}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$x-4.2=\frac{1}{2}$$

Add 4.2 to both sides.

$$x=\frac{1}{2}+4.2$$

Convert decimal number 4.2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{2}+\frac{21}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{21}{5} to fractions with denominator 10.

$$x=\frac{5}{10}+\frac{42}{10}$$

Since \frac{5}{10} and \frac{42}{10} have the same denominator, add them by adding their numerators.

$$x=\frac{5+42}{10}$$

Add 5 and 42 to get 47.

$$x=\frac{47}{10}$$