# How do you solve 5+2x=2x+6?

Sep 1, 2016

no solution.

#### Explanation:

If we firstly consider only the terms in x.

subtract 2x from both sides of the equation

$\Rightarrow 5 + \cancel{2 x} - \cancel{2 x} = \cancel{2 x} - \cancel{2 x} + 6$

Observe that the x terms are eliminated and we are left with

$5 + 0 = 0 + 6 \text{ that is " 5=6" which is invalid}$

There is no solution to this equation.