what if you have a problem like this:5x+2(4x-6)+2x<10?

5x+8x-12+2x<10

gather terms, solve

First, distribute. Basically, multiply the 2 by 4 and by the -6.

That makes it be:

5x + 8x + -12 + 2x

Then, you can add all of the x's together to make it simplified, getting:

15x + 12 < 10

Then, take 12 away from each side, and divide by 5.

I hope I helped you!

To solve the inequality 5x + 2(4x - 6) + 2x < 10, we can follow these steps:

1. Distribute the 2 to the terms inside the parentheses:
5x + 2 * 4x - 2 * 6 + 2x < 10
Simplify: 5x + 8x - 12 + 2x < 10
Combine like terms: 15x - 12 < 10

2. Isolate the variable x by moving constant terms to the other side of the inequality:
Add 12 to both sides of the inequality:
15x - 12 + 12 < 10 + 12
Simplify: 15x < 22

3. Finally, divide both sides of the inequality by the coefficient of x (15 in this case) to solve for x:
(15x)/15 < 22/15
Simplify: x < 22/15

So the solution to the inequality is x < 22/15.