What value of  x  is in the solution set of 2(3x  – 1) ≥  4x  – 6?

2(3x - 1) ≥ 4x - 6  Remove the brackets on the left.
6x - 2  ≥ 4x - 6     Subtract 4x from both sides.
6x - 4x - 2 ≥ - 6    combine like terms on the left.
2x - 2 ≥ - 6           Add 2 to both sides
2x ≥ - 6+ 2
2x ≥ -4                 Divide by 2
x ≥ - 4/2
x ≥ - 2  answer <<<<<<<<

Check
2(3*-2 - 1) ≥ 4x - 6
2(-6 - 1) ≥ 4(-2) - 6
2(-7) ≥- 8 - 6
- 14 = - 14 and this checks.