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motikmotik
3 years ago
14

-1/2(3x-4)+3x=5/6 Please help

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer:

  x = -7/9

Step-by-step explanation:

The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.

  6(-1/2(3x -4) +3x) = 6(5/6)

  -9x +12 +18x = 5 . . . . . . . . . simplify

  9x = -7 . . . . . . . . . . . . . . . . . subtract 12

  x = -7/9 . . . . . .divide by 9

__

Another way to do this is to eliminate parentheses first.

  -3/2x +2 +3x = 5/6

  3/2x = -7/6 . . . . . . . . . collect terms, subtract 2

  x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3

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