What is 2/3x + 1/6x =2
It is an equation. Are you supposed to solve for x?
yes i believe so, i'm new to this so i can't say much
To solve the equation `2/3x + 1/6x = 2`, we need to find the value of `x` that satisfies the equation. Here's how you can solve it step by step:
Step 1: Combine like terms
The equation has terms with `x` in both the numerator and the denominator. To simplify the equation, we need to find a common denominator for the fractions. The least common multiple (LCM) of 3 and 6 is 6.
`2/3x` can be rewritten as `(2/3) * x` or `2x/3`.
`1/6x` can be rewritten as `(1/6) * x` or `x/6`.
So the equation becomes: `(2x/3) + (x/6) = 2`.
Step 2: Clear the denominators
To eliminate the denominators, we can multiply the entire equation by the LCM, which is 6 in this case.
6 * `(2x/3)` = 6 * `2` simplifies to `4x`.
6 * `(x/6)` = 6 * `2` simplifies to `x`.
So the equation becomes: `4x + x = 12`.
Step 3: Combine like terms again
Now, combine the terms with `x` on the left side of the equation:
`4x + x` simplifies to `5x`. The equation becomes: `5x = 12`.
Step 4: Solve for x
To solve for `x`, divide both sides of the equation by the coefficient of `x`. In this case, divide both sides by 5.
`5x/5` = `12/5`, which simplifies to `x = 12/5`.
Therefore, the solution to the equation `2/3x + 1/6x = 2` is `x = 12/5`.