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a) \( 2 x+3=17 \)

Ask by Alexander Frazier. in Australia
Feb 03,2025

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Answer

\( x = 7 \)

Solution

To solve the equation \( 2x + 3 = 17 \) for \( x \), follow these steps: ### Step 1: Subtract 3 from both sides \[ 2x + 3 - 3 = 17 - 3 \] \[ 2x = 14 \] ### Step 2: Divide both sides by 2 \[ \frac{2x}{2} = \frac{14}{2} \] \[ x = 7 \] **Solution:** \( x = 7 \)

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The Deep Dive

To solve the equation \( 2x + 3 = 17 \), first, you'll want to get rid of the constant on the left side. Subtract 3 from both sides, giving you \( 2x = 14 \). Now, divide both sides by 2 to isolate \( x \) and you get \( x = 7 \). It's as easy as pie! Now, here's the fun part: always double-check your answer! Plugging \( x = 7 \) back into the original equation, we find \( 2(7) + 3 = 14 + 3 = 17 \). Voila! You've solved it correctly. This little habit can save you from simple mistakes that can sneak in!

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