Solve for x.

x - 1/2 (8 - x) = x + 3 (4 - x) - x

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