Question 75878
<pre>

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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