Question

If 5x-2+3x-4=2x-8+x+2, then x =

Answer 1

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.

$5x-2+3x-4=2x-8+x+2$ 

$8x-2-4=2x-8+x+2$ 

$8x-6=2x-8+x+2$ 

$8x-6=3x-8+2$ 

$8x-6=3x-6$ 

$8x=3x$      $Cancel \ -6 \ on \ both \ sides$ 

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

$5x=0$  

$5x/5=0/5$        $Divide \ both \ sides \ by \ 5$

$x=0$

Answer 2

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