Solve 5(x-2.5)=6.5

$$5(x-2.5)=6.5$$

Solve for x

$$x=3.8$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$x-2.5=\frac{6.5}{5}$$

Expand \frac{6.5}{5} by multiplying both numerator and the denominator by 10.

$$x-2.5=\frac{65}{50}$$

Reduce the fraction \frac{65}{50} to lowest terms by extracting and canceling out 5.

$$x-2.5=\frac{13}{10}$$

Add 2.5 to both sides.

$$x=\frac{13}{10}+2.5$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{13}{10}+\frac{5}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{13}{10} and \frac{5}{2} to fractions with denominator 10.

$$x=\frac{13}{10}+\frac{25}{10}$$

Since \frac{13}{10} and \frac{25}{10} have the same denominator, add them by adding their numerators.

$$x=\frac{13+25}{10}$$

Add 13 and 25 to get 38.

$$x=\frac{38}{10}$$

Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{19}{5}$$