14x - 1/2(4x + 6) = 3(x - 4) - 18
Simplify everything.
14x - 2x - 3 = 3x - 12 - 18
Then, add like terms.
(14x - 2x) - 3 = 3x + (-12 - 18)
Simplify.
12x - 3 = 3x - 30
Now, subtract 3x from both sides, as well as adding 3 to both sides.
12x - 3x = -30 + 3
Simplify.
9x = -27
Divide 9 from both sides.
x = -27/9
Finally, simplify.
x = -3
~Hope I helped!~