Solve 2.5(x+3.1)=66.1

$$2.5(x+3.1)=66.1$$

Solve for x

$$x=23.34$$

Steps for Solving Linear Equation

Divide both sides by 2.5.

$$x+3.1=\frac{66.1}{2.5}$$

Expand \frac{66.1}{2.5} by multiplying both numerator and the denominator by 10.

$$x+3.1=\frac{661}{25}$$

Subtract 3.1 from both sides.

$$x=\frac{661}{25}-3.1$$

Convert decimal number 3.1 to fraction \frac{31}{10}.

$$x=\frac{661}{25}-\frac{31}{10}$$

Least common multiple of 25 and 10 is 50. Convert \frac{661}{25} and \frac{31}{10} to fractions with denominator 50.

$$x=\frac{1322}{50}-\frac{155}{50}$$

Since \frac{1322}{50} and \frac{155}{50} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{1322-155}{50}$$

Subtract 155 from 1322 to get 1167.

$$x=\frac{1167}{50}$$