Solve 7(x-6.5)=87.5

$$7 ( x - 6.5 ) = 87.5$$

Solve for x

$$x=19$$

Steps for Solving Linear Equation

Divide both sides by 7.

$$x-6.5=\frac{87.5}{7}$$

Expand \frac{87.5}{7} by multiplying both numerator and the denominator by 10.

$$x-6.5=\frac{875}{70}$$

Reduce the fraction \frac{875}{70} to lowest terms by extracting and canceling out 35.

$$x-6.5=\frac{25}{2}$$

Add 6.5 to both sides.

$$x=\frac{25}{2}+6.5$$

Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{25}{2}+\frac{13}{2}$$

Since \frac{25}{2} and \frac{13}{2} have the same denominator, add them by adding their numerators.

$$x=\frac{25+13}{2}$$

Add 25 and 13 to get 38.

$$x=\frac{38}{2}$$

Divide 38 by 2 to get 19.

$$x=19$$