(2/3)x – (8/3) – (1/5)x – (2/5) = 2x – 6 + 5x

Now you can combine like terms:

[(2/3)-(1/5)]x – [(8/3)-(2/5)] = (2+5)x – 6 or

(7/15)x – (34/15) = 7x – 6 add (34/15) to both sides to get

(7/15)x = 7x – 6 + (34/15) or

(7/15)x = 7x – 56/15 now subtract 7x from both sides to get:

(7/15)x – 7x = -56/15 or

-(98/15)x = -(56/15) multiply both sides by -(15/98) to get:

x = (56/15)(15/98) or

x = (56/98) or

x = +4/7

This is positive…heaven forgot to distribute the (-) when multiplying -(1/5) * (x+2)

I hope this helps

2/3(x – 4) – 1/5(x + 2) = 2(x – 3) + 5x

2/3x – 8/3 – 1/5x + 2/5 = 2x – 6 + 5x

7/15x – 34/15 = 7x – 6

56/15 = 98/15x

-4/7 = x