How do I solve this equation 10 (x+2) >-2 (6-9x) ?

Use distributive property for each side of the equation

1.) 10 (x+2) >-2 (6-9x)

2. 10x + 20> - 12+18x

Then whatever you do to one side of the equation, you do to the other. So we're trying to get x alone on one side.

Subtract 10x from each side

3.) 20> - 12 + 8x

Add 12 to each side

4.) 32>8x

Divide each side by 8 to get x alone

5.) 4 > x

10 (x+2) >-2 (6-9x)

10x+20>-12+18x

10x-18x>-12-20

-8x>-32

x<4