Simplifying the Expression: 6(x-7)-2(x+5)
In this article, we will simplify the algebraic expression 6(x-7)-2(x+5). Simplifying an expression means combining like terms to form a simpler expression.
Step 1: Follow the Order of Operations
To simplify the expression, we need to follow the order of operations (PEMDAS):
- Evaluate the expressions inside the parentheses.
- Multiply the coefficients.
- Combine like terms.
Step 2: Evaluate the Expressions Inside the Parentheses
First, let's evaluate the expressions inside the parentheses:
6(x-7) = 6x - 42
-2(x+5) = -2x - 10
Step 3: Multiply the Coefficients
Now, let's multiply the coefficients:
6x - 42 - 2x - 10
Step 4: Combine Like Terms
Finally, let's combine the like terms:
6x - 2x = 4x -42 - 10 = -52
So, the simplified expression is:
4x - 52
And that's it! We have successfully simplified the expression 6(x-7)-2(x+5) to 4x - 52.
