# SOLUTION: I need to understand how to solve this equation and to find the value of x. 1/2(2x-1)+1/4(x-2)=4 Thanks

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: I need to understand how to solve this equation and to find the value of x. 1/2(2x-1)+1/4(x-2)=4 Thanks      Log On

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 Question 11521: I need to understand how to solve this equation and to find the value of x. 1/2(2x-1)+1/4(x-2)=4 ThanksFound 2 solutions by fabioGR, elima:Answer by fabioGR(2)   (Show Source): You can put this solution on YOUR website!4=4*4 2(2x-1)+(x-2)=16 4x-2+x-2=16 5x-4=16 5x=20 x=20/5 x=4 Answer by elima(1433)   (Show Source): You can put this solution on YOUR website!1/2(2x-1)+1/4(x-2)=4 You begin by multiplying 1/2(2x-1)= 2x-1/2 then 1/4(x-2) = x-2/4 Now you have: 2x-1/2+x-2/4=4 To add the left side together you need common denominators,which would be 4. So; 2(2x-1)/4+x-2/4=4 Now you can add the left side together: 4x-2/4+x-2/4 = 5x-4/4 5x-4/4=4 Now multiply 4 to both sides so you can get rid of the 4 denominator. 5x-4 = 16 add 4 to both sides so you can get 5x by itself. 5x=20 Divide both sides by 5; x=4