Answer:
x = 32/9
Step-by-step explanation:
Performing the indicated multiplication from left to right yields:
x - 4 + x/2 = x + 12 - 3x - x
Combining like terms on both sides, we get:
(3/2)x - 4 = -3x + 12
Adding 4 to both sides simplifies this equation to:
(3/2)x = -3x + 16, or
(3/2)x + (6/2)x = 16, which simplifies to:
3x + 6x = 32, or 9x = 32.
Then x = 32/9
