SOLUTION: find the value of x in the equation 2(x-3)+5x=5(2x+6).

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Question 75878: find the value of x in the equation 2(x-3)+5x=5(2x+6).
Answer by rmromero(383) About Me  (Show Source):
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find the value of x in the equation 2(x-3)+5x=5(2x+6).



Simplify the equation given:



         2x - 6 + 5x = 10x + 30          combine like terms



              7x - 6 = 10x + 30          subtract 7x and 30 both sides



                 -36 = 3x                divide both sides by 3



                 -12 = x



Checking :

           2(x-3)+5x=5(2x+6)

           

           2((-12)-3)+5(-12)=5(2(-12)+6)

            2(-15) + 5(-12) = 5(-24+6)

                   -30 - 60 = 5(-18)

                        -90 = -90  ------> true



 therefore, x = -12





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