Explanation:
2/5(x+4) - 3/5(2x+3) = 2/5(2-x)-1
2/5(x+4)-3/5(2x+3) = 2/5x-1/1(2-x)
2/5(x+4)-3/5(2x+3) = -2/5(2-x)
2/5x+8/5 - 6x/5 + 9/5 = -4/5 - (-2x/5) (-x- = +)
2x/5 + 8/5 - 6x/5 + 9/5 = -4/5 + 2x/5
(take like terms)
2x/5 - 6x/5 - 2x/5 = -4/5 - 9/5 - 8/5
( Find their L.C.M ) (5 is the LCM)
2x - 6x -2x / 5 = -4 - 9 - 8 / 5
-10x / 5 = -13 / 5
( cross multiply)
-50x = -65
x = -65/50
x = -1.3 ( decimal)
or x = 13/10 (improper fraction)
or x = 1 ³/10 ( mixed fraction).
Hope this helps.
Good luck.
If you have any questions, you're free to ask.