SOLUTION: Hello, I have a question about a part of a linear equation. The question is: 5-(8+3x)=2x+3 I am very confused on how to solve the 5-(8+3x). Thank you for helping me!

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Hello, I have a question about a part of a linear equation. The question is: 5-(8+3x)=2x+3 I am very confused on how to solve the 5-(8+3x). Thank you for helping me!      Log On


   

Question 154375: Hello, I have a question about a part of a linear equation. The question is: 5-(8+3x)=2x+3 I am very confused on how to solve the 5-(8+3x). Thank you for helping me!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5-1%288%2B3x%29=2x%2B3 Start with the given equation. Note: I inserted a "-1" outside the parenthesis to clarify the equation.


5-8-3x=2x%2B3 Distribute.


-3x-3=2x%2B3 Combine like terms on the left side.


-3x=2x%2B3%2B3 Add 3 to both sides.


-3x-2x=3%2B3 Subtract 2x from both sides.


-5x=3%2B3 Combine like terms on the left side.


-5x=6 Combine like terms on the right side.


x=%286%29%2F%28-5%29 Divide both sides by -5 to isolate x.


x=-6%2F5 Reduce.


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Answer:

So the answer is x=-6%2F5 which approximates to x=-1.2.