Question 91253
Question:

 solve for x in this equation:       

2(x-3) + 8(4-x) = 38

Answer:
    

2(x-3) + 8(4-x) = 38

At first remove the parenthesis as follows....

2*x - 2*3 + 8*4 - 8*x = 38


==> 2x - 6 + 32 - 8x = 38


Collect like terms......



==> 2x - 8x - 6 + 32 = 38



==> -6x + 26 = 38



subtract 26 from both sides.........


==> -6x + 26  -  26 = 38 - 26


==> -6x = 12


Divide by -6 on both sides....



==> {{{ -6x/-6 = 12/-6 }}}


==> x = -2



So solution is x = -2


Hope you found the explanation useful.



Regards.....

Praseena.