Answer:
x = -3 or +2
Step-by-step explanation:
Such an equation resolves into two equations. The argument of the absolute value function can be either positive or negative, so there is one equation for each case.
<u>4x +2 = 10</u>
4x = 8 . . . . subtract 2
x = 2 . . . . . divide by 4
<u>4x +2 = -10</u>
4x = -12 . . . subtract 2
x = -3 . . . . . divide by 4
The two solutions are x=-3 and x=2.