Simplify.

-12x+3-4x+5+3/2x

-12x+3-4x+5+3/2x

Subtract 4x from - 12x

-16x+3+5+3/2x

Add 5 to 3

-16x+8+3/2x

Add 3/2x to - 16x

-16x+3/2x+8

Convert - 16x to a improper fraction

-16x/1+3/2x+8

Multiply until both fractions have the same common denominator

-32/2x+3/2x+8

Add the numerators but NOT the denominators

Final Answer: - 29/2x+8 or - 14 1/2x+8 * Both answers are equivalent to each other.