To solve the equation 2/3 x + 4x = 0, we start by combining like terms.
First, we can express 4x with a common denominator of 3:
- 4x = 12/3 x
Now, rewrite the equation:
2/3 x + 12/3 x = 0
This simplifies to:
(2 + 12)/3 x = 0
Thus:
14/3 x = 0
To find x, we can multiply both sides by the reciprocal of 14/3 (which is 3/14):
x = 0
Therefore, the solution is:
x = 0