Verified Answer :

5x-2+3x-4 = 2x-8+x+2

First we have to put all X's on side and the remaining numbers on the other, changing their signal if they move across the equal sign. Therefore,

5x+3x-2x-x = -8+2+4+2
5x = 0
x= 0/5
x= 0

Solving
an equation means finding a value of a variable that make the equation true.
This value is called the solution of the equation.
A mathematical equation is
just like a balanced equation. Both sides of the equation should be equal at
all times. Whatever we do to one side, has to be done on the opposite side.

\(5x-2+3x-4=2x-8+x+2\) 

\(8x-2-4=2x-8+x+2\) 

\(8x-6=2x-8+x+2\) 

\(8x-6=3x-8+2\) 

\(8x-6=3x-6\) 

\(8x=3x\)      \(Cancel \ -6 \ on \ both \ sides\) 

\(8x-3x=0\)  \(Move \ all \ terms \ to \ one \ side\)

\(5x=0\)  

\(5x/5=0/5\)        \(Divide \ both \ sides \ by \ 5\)

\(x=0\)