Solve −5(x+2)+6(x−2)≥10−5(𝑥+2)+6(𝑥−2)≥10.

Sure, let's solve the inequality step by step:

−5(x+2)+6(x−2)≥10

First, distribute the -5 and 6 to the terms inside the parentheses:

-5x - 10 + 6x - 12 ≥ 10

Then, combine like terms:

x - 22 ≥ 10

Next, add 22 to both sides of the inequality to isolate x:

x ≥ 10 + 22

So, the solution to the inequality is:

x ≥ 32