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How do you solve #|2x - 3| = |x + 2|#?

Answer 1

Kennedy Adams

#x= -5" and "x=+5#

Write as: #2x-3=x+2#

#=> 2x-x=2+3#

#=> x=5

So #|x|=|5| " or just "|x|=5#

Thus the solution is #x= -5" and "x=+5#

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Answer 2

Julia Adams

To solve the equation |2x - 3| = |x + 2|, follow these steps:

Set up two cases: Case 1: (2x - 3) = (x + 2) Case 2: (2x - 3) = -(x + 2)
Solve each case separately: Case 1: 2x - 3 = x + 2 Case 2: 2x - 3 = -(x + 2)
Solve for x in each case: Case 1: x = 5 Case 2: x = -1

So, the solutions are x = 5 and x = -1.

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Answer from HIX Tutor

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