To solve this equation, we first need to simplify both sides separately, and then solve for x.
Starting with the left side of the equation:
(9 2/3 - x) / 3.5
First, we need to convert 9 2/3 to an improper fraction:
9 2/3 = (9 * 3 + 2) / 3 = 29 / 3
Now the equation becomes:
(29/3 - x) / 3.5
Next, we multiply by the reciprocal of 3.5 to get rid of the division:
(29/3 - x) * (1/3.5) = 17/35
Now we simplify:
(29/3 - x) * (2/7) = 17/35
Multiplying the fractions:
58/21 - 2x/7 = 17/35
Now, we need to solve for x:
Multiplying through by the common denominator of 21:
21(58/21) - 3(2x/7) = 21(17/35)
58 - 6x = 17 * 3
58 - 6x = 51
-6x = -7
x = 7/6
Therefore, x = 7/6 or 1 1/6.
To solve this equation, we first need to simplify both sides separately, and then solve for x.
Starting with the left side of the equation:
(9 2/3 - x) / 3.5
First, we need to convert 9 2/3 to an improper fraction:
9 2/3 = (9 * 3 + 2) / 3 = 29 / 3
Now the equation becomes:
(29/3 - x) / 3.5
Next, we multiply by the reciprocal of 3.5 to get rid of the division:
(29/3 - x) * (1/3.5) = 17/35
Now we simplify:
(29/3 - x) * (2/7) = 17/35
Multiplying the fractions:
58/21 - 2x/7 = 17/35
Now, we need to solve for x:
58/21 - 2x/7 = 17/35
Multiplying through by the common denominator of 21:
21(58/21) - 3(2x/7) = 21(17/35)
58 - 6x = 17 * 3
58 - 6x = 51
-6x = -7
x = 7/6
Therefore, x = 7/6 or 1 1/6.