Solve: (4x - 6) - (5 - 4x) ≥ 8.
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(4x - 6) - (5 - 4x) ≥ 8
Get rid of the fraction by multiplying both sides by the L.C.M of the denominators 2 and 3.
The L.C.M is 6.
6 x (4x - 6) - (5 - 4x) x 6 ≥ 8 x 6
3(4x - 6) - 2(5 - 4x) ≥ 48
12x - 18 - 10 + 8x ≥ 48
20x - 28 ≥ 48
20x ≥ 48 + 28
20x ≥ 76
Divide both sides by 20
x ≥
Note: 4 divides 76, 19 times and 20, 5 times.
x ≥ or 3 or 3.8
