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Sagot :

Solution:

We know that:

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

Simplify the distributive property.

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

Further simplify both sides.

  • x/4 - 2/4 = 17/6 - x

Subtract 17/6 both sides.

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

Subtract x/4 both sides.

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

Use cross multiplication.

  • => -160 = -60x

Divide -60 both sides.

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