SOLUTION: Please help me determine whether the equation is always, sometimes, or never true 6x-12+2x=3+8x-15
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Question 1007055
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Please help me determine whether the equation is always, sometimes, or never true
6x-12+2x=3+8x-15
Found 2 solutions by
ikleyn, MathTherapy
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Answer by
ikleyn(52790)
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6x - 12 + 2x = 3 + 8x - 15
--------------------------
This equation is always true.
It is an identity.
To get the conclusion, simplify this equation as you usually do.
It means: collect the terms with x; collect the constant terms etc.
In this way you will get
(6x + 2x - 8x) + (-12 -3 + 15) = 0, or
0*x + 0 = 0, or
0 = 0.
This equation is always true, so the original equation is.
Answer by
MathTherapy(10552)
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Please help me determine whether the equation is always, sometimes, or never true
6x-12+2x=3+8x-15
Always TRUE, since when solved, results in: 0 = 0.
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