[02.03] solve for x: |2x + 6| − 4 = 20 x = 9 and x = 11 x = −9 and x = 15 x = 9 and x = −15 no solution

x = 9 and x = −15

Step-by-step explanation:

|2x + 6| − 4 = 20

Add 4 to each side

|2x + 6| − 4+4 = 20+4

|2x + 6|  = 24

Now we have an absolute value equation that has the absolute value isolated.  We can separate them, have two equations, one positive and one negative.

2x+6 =24   and 2x+6=-24

Subtract 6 from each side

2x+6-6=24 -6    2x+6-6 = -24-6

2x = 18                   2x =-30

Divide by 2

2x/2 = 18/2          2x/2 = -30/2

x =9                        x=-15

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step-by-step explanation:

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