How do you solve −5|−2x+−3|+2=−33?
brunoconti:
is this absolute value?
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Answer:
x=−5 or x=2
Let's solve your equation step-by-step.
−5(|−2x−3|)+2=−33
Step 1: Add -2 to both sides.
−5(|−2x−3|)+2+−2=−33+−2
−5(|−2x−3|)=−35
Step 2: Divide both sides by -5.
−5(|−2x−3|)−5=−35−5
|−2x−3|=7
Step 3: Solve Absolute Value.
|−2x−3|=7
We know either−2x−3=7or−2x−3=−7
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−2x−3=7(Possibility 1)
−2x−3+3=7+3(Add 3 to both sides)
−2x=10
−2x−2=10−2(Divide both sides by -2)
x=−5
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−2x−3=−7(Possibility 2)
−2x−3+3=−7+3(Add 3 to both sides)
−2x=−4
−2x−2=−4−2(Divide both sides by -2)
x=2
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Answer:
x=−5 or x=2
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