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\( -7(x-3) \) when \( x=-5 \)

Ask by Craig Colon. in the United States
Jan 23,2025

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Answer

When \( x = -5 \), \( -7(x - 3) = 56 \).

Solution

To evaluate the expression \( -7(x - 3) \) when \( x = -5 \), follow these steps: 1. **Substitute** the value of \( x \) into the expression: \[ -7((-5) - 3) \] 2. **Simplify** inside the parentheses: \[ -7(-5 - 3) = -7(-8) \] 3. **Multiply**: \[ -7 \times (-8) = 56 \] So, \( -7(x - 3) \) evaluates to **56** when \( x = -5 \).

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Mind Expander

First, let's substitute \( x = -5 \) into the expression \( -7(x-3) \). This gives us: \[ -7(-5 - 3) = -7(-8) = 56 \] So, when \( x = -5 \), the expression evaluates to 56. Now that we have a positive result, isn't it interesting how sometimes substituting negative numbers can lead to positive outcomes? Math can be full of surprises! If you consistently check your work step by step, it can turn any seemingly complicated problem into a breeze. Just remember to carry your signs properly!

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