|4x-3|-5=4
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Step 1: Add 5 to both sides
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|4x-3|-5+5=4+5
|4x-3|=9
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Step 2: Solve absolute value
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|4x-3|=9
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we know either
4x-3=9 or 4x-3=-9
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possibility 1:
4x-3=9
4x-3+3=9 (Add 3 to both sides)
4x=12
4x/4 = 12/4 ( divide both sides by 4)
X=3
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possibility 2:
4x-3=-9
4x-3+3=-9+3 (Add 3 to both sides)
4x=-6
4x/4 = -6/4 (divide both sides by 4)
X=-3/2
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ANSWERS: x=3 or X=-3/2