Simplify 2/5(10x+3/4)−2x .
4x + 6/20 - 2x = ?
ion know them at all soooo yea and its due today so can u plz jus tell me the answer to em
To simplify the expression 2/5(10x + 3/4) - 2x, let's follow these steps:
Step 1: Distribute the 2/5 to the terms inside the parentheses:
(2/5) * 10x + (2/5) * (3/4) - 2x
Step 2: Simplify each part:
(20/5)x + (6/20) - 2x
Step 3: Simplify further:
4x + (3/10) - 2x
Step 4: Combine like terms:
(4x - 2x) + (3/10)
Step 5: Simplify the resulting expression:
2x + (3/10)
Therefore, the simplified expression for 2/5(10x + 3/4) - 2x is 2x + 3/10.
To simplify the given expression, we can follow the order of operations, which is typically represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Let's break down the expression step by step:
1. Distribute the fraction 2/5 to the terms inside the parentheses:
(2/5)(10x) + (2/5)(3/4) - 2x
This becomes:
(20/5)x + (6/20) - 2x
2. Simplify each term:
(4/1)x + (6/20) - 2x
The common denominator for the fractions is 20.
3. Convert the whole numbers into fractions:
(4/1)x + (6/20) - (40/20)x
4. Combine like terms by adding or subtracting coefficients:
[(4x) + (-40x)]/20 + 6/20
Simplifying the numerator, we have:
(4x - 40x)/20 + 6/20
Simplifying further, we get:
-36x/20 + 6/20
5. Combine the fractions with the same denominator:
(-36x + 6)/20
Therefore, the simplified expression is (-36x + 6)/20.