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Len [333]
3 years ago
11

Step by step please​

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0

Solution:

<u>We know that:</u>

  • Given equation: 1/4(x - 2) = 3 - (x + 1/6)

<u>Simplify the distributive property.</u>

  • 1/4(x - 2) = 3 - (x + 1/6)
  • => x/4 - 2/4 = 3 - x - 1/6

<u>Further simplify both sides.</u>

  • x/4 - 2/4 = 17/6 - x

<u>Subtract 17/6 both sides.</u>

  • x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x
  • => x/4 - 6/12 - 34/12 = -x
  • => x/4 - 40/12 = -x

<u>Subtract x/4 both sides.</u>

  • x/4 - x/4 - 40/12 = -x - x/4
  • => -40/12 = -5x/4

<u>Use cross multiplication.</u>

  • => -160 = -60x

<u>Divide -60 both sides.</u>

  • -160/-60 = -60x/-60
  • => x = 160/60 = 2 40/60 = 2 2/3
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