In this question, you're solving the inequality for x.
Solve:
-1/3(6x - 15) + 6x > 8x - 11
Distribute the -1/3 to the variables in the parenthesis.
-2x + 5 + 6x > 8x - 11
Combine like terms
4x + 5 > 8x - 11
Subtract 8x from both sides
-4x + 5 > - 11
Subtract 5 from both sides
-4x > -16
Divide both sides by -4, while also flipping the inequality, since you're dividing by a negative.
x < 4
Answer:
x < 4