Answer:
x = 4 2/7
Explanation:
2/3 x= -1/2x+5
Add 1/2 to each side
2/3 x 1/2 x = -1/2x+1/2x+5
2/3 x +1/2x =5
Get a common denominator
2/3x *2/2 + 1/2 *3/3 = 5
4/6x + 3/6x = 5
7/6x = 5
Multiply each side by 6/7 to isolate x
6/7 *7/6x = 5 *6/7
x = 30/7
Change to a mixed number
x = 28/7 + 2/7
x = 4 2/7