find the solution for the equation
|2x-8|+2=7

Question

anonymous · Answer

how do you find the solution set

mr.math · Answer

$$|2x-8|+2=7 \implies |2x-8|=5.$$
This is true for two cases:
Case 1: $2x-8=5 \implies 2x=13 \implies x=\frac{13}{2}$.
Case 2: $2x-8=-5 \implies 2x=3 \implies x=\frac{3}{2}$.

across · Answer

If you're stuck, you could remember the definition$$|a|=b\implies-b=a=b.$$

anonymous · Answer

|2x -8|+2=7
so, either (2x-8)+2 = 7            or           -(2x-8)+2 = 7 
               2x-6=7                                    -2x+10=7
               2x=13                                        2x=3
                 x=13/2                                       x=3/2