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.
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.
Divide -60 both sides.
- -160/-60 = -60x/-60
- => x = 160/60 = 2 40/60 = 2 2/3
