-2(-11%2F4x-5%2F2)-simplified.jpeg "(-11/2x+3)-2(-11/4x-5/2) Simplified")
Simplifying the Expression: (-11/2x+3)-2(-11/4x-5/2)
When dealing with algebraic expressions, simplifying them is an essential step to make them easier to work with. In this article, we will simplify the expression (-11/2x+3)-2(-11/4x-5/2).
Step 1: Distribute the Negative Sign
First, let's distribute the negative sign to the terms inside the parentheses:
-2(-11/4x-5/2) = 2(11/4x-5/2)
Now, the expression becomes:
(-11/2x+3) + 2(11/4x-5/2)
Step 2: Combine Like Terms
Next, we need to combine like terms. Since we have two fractions with different denominators, we need to find the least common multiple (LCM) of 2 and 4, which is 4. We can rewrite the first term with a denominator of 4:
-11/2x = -22/4x
Now, the expression becomes:
(-22/4x+3) + 2(11/4x-5/2)
Step 3: Simplify the Expression
Now, we can simplify the expression by combining like terms:
-22/4x + 2(11/4x) = (-22 + 22)/4x = 0
The x-term cancels out, leaving us with:
3 - 2(5/2)
Step 4: Simplify the Constant Term
Finally, we can simplify the constant term:
3 - 5 = -2
So, the simplified expression is:
-2
Therefore, the simplified form of the expression (-11/2x+3)-2(-11/4x-5/2) is -2.
