SOLUTION: Prove that if 3x-2=x-8 Given: 3x-2=x-8 Prove:x=-3

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Question 256056: Prove that if 3x-2=x-8
Given: 3x-2=x-8
Prove:x=-3
Answer by drk(1908) About Me  (Show Source):
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STATEMENT 1: 3x - 2 = x - 8
REASON 1: given
STATEMENT 2: 3x-2+2 = x-8+2
REASON 2: addition property of equality
STATEMENT 3: 3x = x - 8 + 2
REASON 3: additive inverse property
STATEMENT 4: 3x = x - 6
REASON 4: distributive property
STATEMENT 5: 3x - x = x - x- 6
REASON 5: subtraction property of equality
STATEMENT 6: 2x = x - x -6
REASON 6: distributive property of equality
STATEMENT 7: 2x = -6
REASON 7: distributive property of equality
STATEMENT 8: X = -3
REASON 8: Multiplicative inverse property of equality.