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ORIGINAL EQUATION
|5x - 4| = 11
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Possible EQUATION #1
5x - 4 = 11
ADD 4 to BOTH SIDES
5x - 4 + 4 = 11 + 4
CANCEL out: -4 + 4 because it gives you 0
KEEP: 11 + 4 because it help solve for the x-value
NEW EQUATION: 5x = 11 + 4
SIMPLIFY IT!
5x = 15
DIVIDE 5 to BOTH SIDES
5x/5 = 15/5
CANCEL out: 5/5 because it gives you 1
KEEP: 15/5 because it help solve for the x-value
NEW EQUATION: x = 15/5
SIMPLIFY IT!
x = 3
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Possible EQUATION #2
5x - 4 = -11
ADD 4 to BOTH SIDES
5x - 4 + 4 = -11 + 4
CANCEL out: -4 + 4 because it gives you 0
KEEP. -11 + 4 because it help solve for the x-value
NEW EQUATION: 5x = -11 + 4
SIMPLIFY IT!
5x = -7
DIVIDE 5 to BOTH SIDES
5x/5 = -7/5
CANCEL out: 5/5 because it gives you 1
KEEP: -7/5 because it help solve for the x-value
NEW EQUATION: x = -7/5
SIMPLIFY IT!
x = -7/5
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ANSWER
x = 3 or x = -7/5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)