How do you solve |8x + 4| = 52?

1 Answer
Gazza
Oct 30, 2017

x=6 or x=-7

Explanation:

|8x +4|=52
Solve for the absolute value
We know either 8x + 4=52 or 8x +4 = -52
We gonna call the first one possibility ONE and the second one possibility TWO.

Let's start by solving the first possibility
8x + 4 =52
Subtract color(red)(4) from both sides
8x cancel(+4) cancelcolor(red)(-4) = 52 - color(red)(4)
8x = 48
Divide both sides 8
(cancel8x)/cancel8 = 48/8
x= 6

Then, solve the second possibility
8x +4=-52
Let's start by subtracting color(red)(4) from both sides
8x cancel(+4) cancelcolor(red)(-4)= -52 - color(red)(4)
8x = -56
Divide both sides by 8
(cancel8x)/cancel8 = (-56)/8
x= -7

Thus,

The answer is x=6 or x=-7

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