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3 times x plus one third equals one third times x plus 3

User John Prado
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1 Answer

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The solution to the equation
\(3x + (1)/(3) = (1)/(3)x + 3\) is x = 1, obtained by eliminating fractions, simplifying, and solving for x.

Let's solve the equation for x:


\[3x + (1)/(3) = (1)/(3)x + 3\]

First, eliminate fractions by multiplying both sides by 3:

9x + 1 = x + 9

Now, subtract x from both sides:

8x + 1 = 9

Subtract 1 from both sides:

8x = 8

Finally, divide by 8:

x = 1

So, the solution to the equation is x = 1.

The complete question is:
Solve for x:

3 times x plus one third equals one third times x plus 3

User Breavyn
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7.4k points