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3(x-4)=2(-2x+1) please help

User Jamie Czuy
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2 Answers

5 votes
5 votes
Answer: x=2.

Step by step:

3(x-4)=2(-2x+1)

3x-12=-4x+2

7x-12=2

7x=14

x=2
User Molfar
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2.7k points
17 votes
17 votes

Answer:


\boxed{\boxed{\sf x=2}}

Explanation:


\sf 3\left(x-4\right)=2\left(-2x+1\right)

Expand, Apply Distributive property:


\sf 3x-12=-4x+2

Add 12 from both sides:


\sf 3x-12+12=-4x+2+12


\sf 3x=-4x+14

Add 4x from both sides:


\sf 3x+4x=-4x+14+4x


\sf 7x=14

Divide both sides by 7:


\sf \cfrac{7x}{7}=\cfrac{14}{7}


\sf x=2

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User Latoia
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3.0k points