Question 86989
Question:

sovle and check
10x – 4  – 5x = 6 + 3x – 8


Answer:


10x – 4  – 5x = 6 + 3x – 8


Collect  like terms together.....


==> 10x – 5x – 4  = 6 – 8 + 3x 



==> 5x  – 4  = -2 + 3x 



Subtract 3x from both sides......




==> 5x  – 4 - 3x   = -2 + 3x - 3x 



==> 5x - 3x - 4 = -2



==> 2x - 4 = - 2



Add 4 to both sides....




==> 2x - 4 + 4 = -2 + 4



==> 2x = 2



Divide both sides by 2



==> {{{ 2x/2 = 2/2 }}}



==> x = 1


Check :


To check the solution, plugg the value of x in the given equation.....




==> 10* 1  – 4  – 5 * 1  = 6 + 3 * 1 – 8



==> 10 - 4 - 5 = 6 + 3 - 8




==> 6 - 5 = 9 - 1



==> 1 = 1



That is when you substitute the value of x in the given equation, you can see that both the left and right hand side you have the same value 1


Means your answer is correct....



Hope you found the explanation useful.



Warm Regards.



Praseena.