***will give 25 points, , stars, + brainliest answer*** need with math problem. i really don't understand this stuff. show work, i really just want to know how to do these sorts of problems. what is the solution to the inequality? -2/3(2x-1/2)≤1/5x-1 express your answer in interval notation.

I hope I help, the answer should be -120 if I'm. Correct

Multiply everything in the parentheses by -2/3
-2/3 x 2x -2/3 x (-1/2)
that would then be
-4/3x + 1/3 <1/5x-1
now multiply both side of the inequality by 15 since it’s the great common divisor so it would come out to be
-20x+5<3x-15
Then move the like terms next to each other
-20x -3x<-15-5
And collect them
-23x<-20
Then divide Both sides by -23 and the answer should be
X>20/23
Hopefully I did it correctly but make sure to use the correct sign inequality sign