Simplifying the Expression: 2/3(6x-1/6)+3x
In this article, we will simplify the algebraic expression 2/3(6x-1/6)+3x.
Step 1: Evaluate the Expression Inside the Parentheses
First, we need to evaluate the expression inside the parentheses. This means we need to follow the order of operations (PEMDAS) and perform any calculations that are inside the parentheses.
2/3(6x - 1/6) = 2/3(6x) - 2/3(1/6)
= 4x - 1/9
Step 2: Simplify the Expression
Now that we have evaluated the expression inside the parentheses, we can simplify the entire expression.
2/3(6x - 1/6) + 3x = 4x - 1/9 + 3x
Combine like terms:
= 7x - 1/9
Simplified Expression
The simplified expression is:
7x - 1/9
This is the simplest form of the original expression 2/3(6x-1/6)+3x.
By following the order of operations and combining like terms, we were able to simplify the expression and arrive at a more compact and manageable form.
