-6+2t=3t/2-1/2(t+2)

Solution for -6+2t=3t/2-1/2(t+2) equation:

-6+2t=3t/2-1/2(t+2)

We simplify the equation to the form, which is simple to understand 
-6+2t=3t/2-1/2(t+2)

Simplifying:
-6+2t=+1.5t-1/2*(t+2)

Simplifying:
-6+2t=+1.5t-0.5*(t+2)

Reorder the terms in parentheses
-6+2t=+1.5t+(-0.5t-1)

Remove unnecessary parentheses
-6+2t=+1.5t-0.5t-1

We move all terms containing t to the left and all other terms to the right. 
+2t-1.5t + 0.5t=-1+6

We simplify left and right side of the equation. 
+1t=+5

We divide both sides of the equation by 1 to get t. 
t=5