Question

8+2x<6x-20

Answer 1

8+2x<6x-20 Original eqaution
8<4x-20 Subtracting 2x from both sides to get variable one one side
28<4x Adding 20 to both sides to get variable alone
7 < x Dividing both sides by 4 to get a single x value and your answer.

Answer 2

Solving linear inequality is just like solving regular equation. The only difference is that the symbol switches direction whenever you multiply or divide by a negative number.

Answer 3

I would usually keep the variable to the left side.
\[8+2x<6x-20\]
\[8-8+2x<6x-20-8\]
\[2x<6x-28\]
\[2x-6x<6x-6x-28\]
\[-4x<-28\]
\[x>7\] After division of -4 to both sides of the inequality. Notice that the symbol switches direction.

Answer 4

Chilimath is right. Variable should be on the left side.

Answer 5

Thanks! You may also check the tutorial about this topic on my website. Glad to help tonight :)

http://chilimath.com/algebra/intermediate/ineq/solving-inequalities.html