Solve 6(x-2)>15

$$6 ( x - 2 ) > 15$$

Solve for x

$$x>\frac{9}{2}$$

Solution Steps

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

$$x-2>\frac{15}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$x-2>\frac{5}{2}$$

Add 2 to both sides.

$$x>\frac{5}{2}+2$$

Convert 2 to fraction \frac{4}{2}.

$$x>\frac{5}{2}+\frac{4}{2}$$

Since \frac{5}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$x>\frac{5+4}{2}$$

Add 5 and 4 to get 9.

$$x>\frac{9}{2}$$