Solve the following Inequality in one variable

Can someone help me solve this one?

2x-3(x-1) greater than or equal to x-4

Im having a lot of trouble :/

2x - 3(x-1) > = x-4
2x - 3x + 3 >= x-4
-x >= x-4-3
-x - x >= -7
-2x >= -7
X <= -7/-2
x <= 3.5

Notice that the inequality sign changed FROM greater than or equal to TO less than or equal to in the second to last line forward. That's because whenever you are dividing by a negative number, you flip the inequality sign.

Hope this helps

2x -3(x-1) >= x-4
2x -3x +3 >= x -4
2x -3x -x >= -4 -3
-2x >= -7
x <= -7/-2
x <= 7/2