To solve this inequality, you can start by expanding the expression on the right side of the inequality:
4x + 22 > -2(14) -2(3x)
4x + 22 > -28 -6x
Next, you can combine like terms on the left and right side of the inequality:
10x + 22 > -28
Then, you can subtract 22 from both sides of the inequality:
10x > -50
Finally, you can divide both sides of the inequality by 10 to find the solution:
x > -5
Therefore, the solution to the inequality is x > -5.