Question

X - ( x -( 2 x - 3 ))​

Answer 1

$x - (x - (2x - 3)) = x - (x - 2x + 3) = x - ( - x + 3) = x + x - 3 = 2x - 3.$

Answer 2

To simplify the expression X - (x - (2x - 3)), we can follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the expression step by step:

1. Start by simplifying the innermost parentheses: x - (2x - 3) = x - 2x + 3 = -x + 3

2. Substitute the simplified inner expression back into the original expression: X - (-x + 3)

3. To remove the negative sign before the parentheses, we distribute the negative sign to every term inside the parentheses: X + x - 3

4. Combine like terms (the terms with the same variable): X + x is equal to X + 1x, which can be simplified to 1X or just X. Therefore, the expression simplifies to: X + x - 3 = X + 1x - 3 = X - 3 + x

So the simplified expression is X - 3 + x.