Find x in the equation.
3 times x plus one third equals one third times x plus 3
a x equals negative 64 over 9
b x = −1
c x = 1
d x equals 64 over 9
To solve for x in the equation, we need to isolate the variable.
Starting with the given equation:
3x + 1/3 = 1/3x + 3
Let's clear the fractions by multiplying both sides of the equation by 3:
(3)(3x + 1/3) = (3)(1/3x + 3)
This simplifies to:
9x + 1 = x + 9
Next, we want to get all the x terms on one side of the equation, so let's subtract x from both sides:
9x - x + 1 = x - x + 9
This simplifies to:
8x + 1 = 9
Now, let's subtract 1 from both sides:
8x + 1 - 1 = 9 - 1
This simplifies to:
8x = 8
Finally, to solve for x, divide both sides by 8:
(1/8)(8x) = 8/8
Simplifying further:
x = 1
So the solution is x = 1
Therefore, the answer is c) x = 1