x = -12
Expiation
To solve the equation, we need to simplify the left-hand side first. We can do this by finding a common denominator for the two fractions and then combining them.
x/3 - 2x - 4/4 can be written as (4x/12) - (8x/12) - (3/3) = (-4x/12) - (3/3)
Now, we can simplify further: (-4x/12) - (3/3) = (-x/3) - 1
So the equation becomes: (-x/3) - 1 = 3
To solve for x, we need to isolate the variable on one side of the equation.
Adding 1 to both sides, we get:
(-x/3) = 4
Multiplying both sides by -3, we get:
x = -12
Therefore, the solution to the equation is x = -12.