Now let's simplify the right side of the equation:
1 5/6 - 1 1/3 = 11/6 - 4/3 = (11 - 8x)/6
Therefore, the equation becomes:
46.67x - 12 = (11 - 8x)/6
Now we can solve for x:
46.67x - 12 = (11 - 8x)/ Multiply both sides by 6 to get rid of the denominator 280x - 72 = 11 - 8 Add 8x and 72 to both sides 288x = 8 Divide by 288 x = 83/288 ≈ 0.2889
Let's first simplify the left side of the equation:
4/9 × (1 12x - 3/8)
Convert the mixed number 1 12x to an improper fraction:
1 12x = 9/9 + 12x = 9/9 + 96x/9 = 105x/9
Now we have:
4/9 × (105x/9 - 3/8
= 4/9 × (105x/9 - 27/72
= 4/9 × (105x/9 - 27/72
= 4/9 × (105x/9 - 27/72
= 4/9 × (105x - 27)/
= (4 × (105x - 27))/
= (420x - 108)/
= 420x/9 - 108/
= 46.67x - 12
Now let's simplify the right side of the equation:
1 5/6 - 1 1/3
= 11/6 - 4/3
= (11 - 8x)/6
Therefore, the equation becomes:
46.67x - 12 = (11 - 8x)/6
Now we can solve for x:
46.67x - 12 = (11 - 8x)/
Multiply both sides by 6 to get rid of the denominator
280x - 72 = 11 - 8
Add 8x and 72 to both sides
288x = 8
Divide by 288
x = 83/288 ≈ 0.2889
So the solution to the equation is x ≈ 0.2889.