The given inequality is expressed as
10(3x + 2) > 7(2x - 4)
The first step is to open the brackets on each side of the inequality by multiplying the terms outside the bracket by the terms inside. Thus, we have
10 * 3x + 10 * 2 > 7 * 2x - 7 * 4
30x + 20 > 14x - 28
Collecting like terms, we have
30x - 14x > - 28 - 20
16x > - 48
Dividing both sides by 16, it becomes
16x/16 > - 48/16
x > - 3