What value of x is in the solution set of 3(x-4)greater than or equal to 5x+2

3(x-4)>= 5x+2

Distributing 3 on x-4

3(x)-3(4)>=5x+2

3x-12>=5x+2

Now we need to move x terms together and the numbers together and for that we subtract 5x to both sides and add 12 to both sides

-2x >=14

Now we need to get rid of -2, and for that we divide both sides by -2 and on dividing by negative number, the sign of inequality change , that is

x<=-7