Problem: 2x-3(x+6)= -4(x-1)
2x -3(x+6) = -4(x-1)
2x - 3(x + 6) = -4(x - 1)
2x - 3x - 18 = -4x + 4
-x - 18 = -4x + 4
-x - 18 + 4x = -4x + 4 + 4x
3x - 18 = 4
3x - 18 + 18 = 4 + 18
3x = 22
3x/3 = 22/3
x = 7 1/3
Check.
2x - 3(x + 6) = -4(x - 1)
2(7 1/3) - 3(7 1/3 + 6) = -4(7 1/3 - 1)
2(7 1/3) - 3(13 1/3) = -4(6 1/3)
2(7 1/3) - 3(13 1/3) = -4(6 1/3)
14 2/3 - 40 = -25 1/3
-25 1/3 = -25 1/3
Answer: x = 7 1/3