Question

Step by step please​

Answer 1

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