Solve 6(x+8.5)=123

$$6 ( x + 8.5 ) = 123$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Divide both sides by 6.

$$x+8.5=\frac{123}{6}$$

Reduce the fraction \frac{123}{6} to lowest terms by extracting and canceling out 3.

$$x+8.5=\frac{41}{2}$$

Subtract 8.5 from both sides.

$$x=\frac{41}{2}-8.5$$

Convert decimal number 8.5 to fraction \frac{85}{10}. Reduce the fraction \frac{85}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{41}{2}-\frac{17}{2}$$

Since \frac{41}{2} and \frac{17}{2} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{41-17}{2}$$

Subtract 17 from 41 to get 24.

$$x=\frac{24}{2}$$

Divide 24 by 2 to get 12.

$$x=12$$