solve for x in this equasion

Question

-2x+6<x−6

Answer 1

To solve the equation -2x + 6 < x - 6, we need to isolate the variable x.

First, let's get rid of the parentheses by distributing the -2 to the x and the 6:

-2x + 6 < x - 6
-2x + 6 = x - 6

Now, let's gather like terms on each side:

-2x + x = -6 - 6

Simplifying further:

-x = -12

To isolate x, let's multiply both sides of the equation by -1:

x = 12

Therefore, the solution to the equation -2x + 6 < x - 6 is x = 12.