odac1890 odac1890
  • 17-10-2019
  • Mathematics
contestada

How do you solve
8|x+2|-6=5|x+2|+3

Respuesta :

zrh2sfo
zrh2sfo zrh2sfo
  • 18-10-2019

Answer:

x = 1 or x = -5

Step-by-step explanation:

Solve for x over the integers:

8 abs(x + 2) - 6 = 5 abs(x + 2) + 3

Subtract 5 abs(x + 2) - 6 from both sides:

3 abs(x + 2) = 9

Divide both sides by 3:

abs(x + 2) = 3

Split the equation into two possible cases:

x + 2 = 3 or x + 2 = -3

Subtract 2 from both sides:

x = 1 or x + 2 = -3

Subtract 2 from both sides:

Answer:  x = 1 or x = -5

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