SOLUTION: Please help me solve this equation: x+\frac{1}{2}=\frac{5}{3}-\frac{x}{6}

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Question 1206308: Please help me solve this equation: x+\frac{1}{2}=\frac{5}{3}-\frac{x}{6}
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

    x +  =  - .


Multiply both sides (each term) by 6.  You will get

    6x + 3 = 10 - x


Collect the terms with x on the left side; the constant term on the right side.

When moving the terms from left to right and from right to left, change their sides to opposite

   6x + x = 10 - 3


Combine like terms

    7x = 7


Divide both sides by 7

    x = 1.


At this point, the solution is complete.


ANSWER.  x= 1.

Solved.

--------------------

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Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!





...if denominators same, numerators must be same too


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