Question

What are the solution of the equation 2|×+7|-3=5​

Answer 1

Solution of the equation 2|x +7|-3=5 is :

x1 = - 11 and x2 = - 3

Answer 2

x = -3 and x = -11

Explanation:

Find the "bare" absolute value function, then solve the two resulting equations.

2|x+7| -3 = 5

2|x +7| = 8 . . . . . add 3

|x +7| = 4 . . . . . . divide by 2

This resolves to two equations:

x +7 = 4

x = -3 . . . . . subtract 7

and

x +7 = -4

x = -11 . . . . . subtract 7

The two solutions are ...

x = -3 and x = -11