Linear inequality, 2x+6 < 5(x-3)

Answer 1

2x+6 < 5(x-3) distribute 5 into x-3
2x+6 < 5x-15 move all x to one side
6 < 5x-15-2x simplify
6 < 3x-15 move 15 to other side
6+15 < 3x simplify
21 < 3x get x alone by dividing 3 on both sides
21/3 < 3x/3 simplify
7 < x and that's how you solve it.

Answer 2

2x + 6 < 5x -15

Add 15 and subtract 2x from both sides.

21 < 3x

Divide both sides by 3.

7 < x