Question

1+2x/4-1/6x=-3-1/12*(6-x)

Answer 1

(12+6x-2x)/12=-3-1/2+x/12
(12+4x)/12=(x-42)/12
(12+4x)/12-(x-42)/12=0
(12+4x-x+42)/12=0
(54+3x)/12=0
(3*(18+x))/12=0
(18+x)/4=0
18+x=0
x=-18

Answer 2

Let's solve the equation step by step:

1 + (2x)/4 - (1/6)x = -3 - (1/12)*(6 - x)

Step 1: Simplify both sides of the equation:

1 + (1/2)x - (1/6)x = -3 - (1/2) + (1/12)x

Step 2: Find a common denominator for the fractions on the left side:

The common denominator for 2, 6, and 12 is 12.

(12/12) + (6/12)x - (2/12)x = -3 - (6/12) + (1/12)x

Step 3: Combine the terms on the left side:

(12/12 + 6/12 - 2/12)x = -3 - 6/12 + 1/12)x

Step 4: Simplify further:

(16/12)x = -3 - 5/12

Step 5: To isolate x, divide both sides by (16/12):

x = (-3 - 5/12) / (16/12)

Step 6: Simplify the right side:

x = (-36/12 - 5/12) / (16/12)

Step 7: Combine the fractions:

x = (-41/12) / (16/12)

Step 8: Divide the fractions:

x = -41/12 * 12/16

Step 9: Simplify further:

x = -41/16

So, the solution to the equation is x = -41/16.