Question 38878
4(x-1)+6 = 3x+1-2x  ...  (In this problem, it's easiest to multiply out first)
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4x-4+6 = 3x+1-2x   ...    (Add like terms on each side)
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4x+2 = 1x+1     ...       (Move unknowns to one side, knowns to the other)
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4x-1x = 1-2    ...        (Simplify)
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3x = -1        ...        (Divide each side by 3)
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x = -1/3
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Check your answer:
4((-1/3)-1)+6 = 3(-1/3)+1-2(-1/3)
2/3 = 2/3