Solve for all values of x for -2|x+9|-6=-24
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
-2|x+9|-6=-24
Solve for x.
Solution:
In order to solve for x, we must first start by taking the absolute value sign and distributing -2 to each value inside the parenthesis, after the sign is off.
-2|x+9|-6=-24
-2 ( x + 9) - 6 = -25
-2x - 18 - 6 = -25
-2x - 24 = -25
Transpose -25 and -2x to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
2x = 25 -24
2x = 1
Divide both sides by 2 in order to determine the value of 1.
2x/2 = ½
x = ½
Final answer:
x =½