# How do you find the solution set for the equation abs(x-6)=8?

Solution set : {14,-2} ; $x = 14 \mathmr{and} x = - 2$
1) $| x - 6 | = 8 \mathmr{and} x - 6 = 8 \mathmr{and} x = 14$ OR
2) $| x - 6 | = 8 \mathmr{and} x - 6 = - 8 \mathmr{and} x = - 2$
Solution set : $\left\{14 , - 2\right\}$ $x = 14 \mathmr{and} x = - 2$[Ans]