Solving Equations with Brackets (Using the Distributive Property)


🧮 Example:


Solve:

2(x + 3) = 14


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✏️ Step 1: Expand the Bracket


Use the distributive property:

Multiply 2 by x and 3:


2 × x = 2x  

2 × 3 = 6


So the equation becomes:

2x + 6 = 14


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✏️ Step 2: Solve the Equation


Now subtract 6 from both sides:


2x = 14 - 6  

2x = 8


Divide both sides by 2:


x = 8 ÷ 2  

x = 4


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✅ Final Answer:


x = 4


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💡 Quick Tip:


Always expand the brackets first before solving the equation. Then follow the steps you've already learned: move constants, isolate the variable, and solve.


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🌐 Website: www.easymathsguid.com.ng

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