What is the solution for this inequality?

8+6x≥7x+2-x

The rules are the same for solving an inequality as they are for equations.

One special thing you have to remember is if you multiply or divide across an inequality by a negative number, you have to change the direction of the inequality.

8 + 6x >= 6x + 2
subtract 6x from both sides

8 >= 2
Since this is a true statement, then there are an infinite number of solutions.