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9 votes
Solve for x
((x + 3)/4) + (((2x - 12) - 1)/3) = 1

1 Answer

10 votes

Answer:

x=5

Explanation:


((x+3)/4)+(((2x-12)-1)/3)=1\\(x+3)/(4) +(2x-12-1)/(3) =1\\(x+3)/(4) +(2x-13)/(3) =1\\

Now we have to cross multiply the denominator to progress further.


(3(x+3))/(4*3) +(4(2x-13))/(3*4) =1\\(3x+9)/(12) +(8x-52)/(12) =1\\(3x+9+(8x-52))/(12) =1\\(3x+9+8x-52)/(12) =1\\(11x-43)/(12) =1\\11x-43=12\\11x=43+12\\11x=55\\x=(55)/(11) \\=5

User Vasily Komarov
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