Solve 2(x+4.7)=3.8

$$2 ( x + 4.7 ) = 3.8$$

Solve for x

$$x=-2.8$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$x+4.7=\frac{3.8}{2}$$

Expand \frac{3.8}{2} by multiplying both numerator and the denominator by 10.

$$x+4.7=\frac{38}{20}$$

Reduce the fraction \frac{38}{20} to lowest terms by extracting and canceling out 2.

$$x+4.7=\frac{19}{10}$$

Subtract 4.7 from both sides.

$$x=\frac{19}{10}-4.7$$

Convert decimal number 4.7 to fraction \frac{47}{10}.

$$x=\frac{19}{10}-\frac{47}{10}$$

Since \frac{19}{10} and \frac{47}{10} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{19-47}{10}$$

Subtract 47 from 19 to get -28.

$$x=\frac{-28}{10}$$

Reduce the fraction \frac{-28}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{14}{5}$$