Question

4x + 2(x – 3) = 4x + 2x – 11

Answer 1

This problem has no real solutions. This can be irritating, because it will often make you think that you've made a mistake somewhere, but equations with variables on both sides can work out to have no real answers.

4x + 2(x - 3) = 4x + 2x - 11   Given
4x + 2x - 6 = 4x + 2x - 11   Distribute 
6x - 6 = 6x - 11   Collect like terms
0 - 6 = -11   Subtract 6x from both sides
-6 = -11   This is an untrue statement, so the x is no real numbers. This can be represented as a capital R with two vertical slashes through it.

Hope this helps!