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