Questions: 2(3x-4y)-(x+5y)

Solution Steps

To simplify the given expression, we need to distribute the constants and then combine like terms.

1. Distribute the 2 across the terms inside the first parentheses.
2. Distribute the negative sign across the terms inside the second parentheses.
3. Combine like terms (terms with \(x\) and terms with \(y\)).

First, distribute the constant \(2\) across the terms inside the first parentheses: \[ 2(3x - 4y) = 6x - 8y \]

Next, distribute the negative sign across the terms inside the second parentheses: \[ -(x + 5y) = -x - 5y \]

Combine the like terms from the two expressions: \[ 6x - 8y - x - 5y \]

Combine the \(x\) terms: \[ 6x - x = 5x \]

Combine the \(y\) terms: \[ -8y - 5y = -13y \]

Final Answer