2/3x - 1/2=1/3 + 5/6x

Answer:x=-5

Step-by-step explanation:

Equation:2/3x - 1/2=1/3 + 5/6x

Step 1: Simplify both sides of the equation

2/3x-1/2=1/3+5/6x

2/3x+-1/2=1/3+5/6x

2/3x+-1/2+5/6x+1/3

Step 2: Subtract 5/6x from both sides of the equation

2/3x+-1/2-5/6x=5/6x+1/3-5/6x

=-1/6x+-1/2=1/3

Step 3: Add 1/2 to both sides of the equation

-1/6x+-1/2+1/2=1/3+1/2

=-1/6x=5/6

Step 4: Multiply both sides of the equation by 6/-1

(6/-1) * (1-/6x) = (6/-1) * (5/6)

x=-5