Solve for xx. Express your answer as a proper or improper fraction in simplest terms.
one third, equals, one sixth, x, plus, start fraction, 3, divided by, 4, end fraction
3
1
=
6
1
x+
4
3
To solve for x, we can start by subtracting the fraction on the right side of the equation from both sides:
1/3 = (1/6)x + 3/4
Subtracting 3/4 from both sides gives:
1/3 - 3/4 = (1/6)x
To combine the fractions on the left side, we need a common denominator of 12:
(4/12) - (9/12) = (1/6)x
Simplifying the left side gives:
-5/12 = (1/6)x
To solve for x, we can multiply both sides by 6:
6*(-5/12) = x
Simplifying gives:
-5/2 = x
Thus, x = -5/2.