Questions: Simplify. 6x - (2y - 5x) - 5y

Simplify. 6x - (2y - 5x) - 5y
Transcript text: Simplify. \[ 6 x-(2 y-5 x)-5 y \]
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Solution

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Solution Steps

To simplify the given expression \(6x - (2y - 5x) - 5y\), we need to distribute the negative sign inside the parentheses and then combine like terms.

  1. Distribute the negative sign: \(6x - 2y + 5x - 5y\)
  2. Combine like terms: \(6x + 5x - 2y - 5y\)
  3. Simplify the expression: \(11x - 7y\)
Step 1: Distribute the Negative Sign

We start with the expression: \[ 6x - (2y - 5x) - 5y \] Distributing the negative sign gives us: \[ 6x - 2y + 5x - 5y \]

Step 2: Combine Like Terms

Next, we combine the like terms: \[ (6x + 5x) + (-2y - 5y) \] This simplifies to: \[ 11x - 7y \]

Final Answer

The simplified expression is: \[ \boxed{11x - 7y} \]

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