SOLUTION: i need to solve the equation and my number are not matching up, can you help me please 3x+2(x+4)=5(x+1)+3

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Question 613692: i need to solve the equation and my number are not matching up, can you help me please
3x+2(x+4)=5(x+1)+3
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Start with the given equation.

Distribute.

Combine like terms on the left side.

Combine like terms on the right side.

Subtract from both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Simplify.

Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.

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Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!

Get the x's all on one side, so subtract
from both sides

Subtract from both sides

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What's up? Why don't I get "x = something"?
That's because the equation is an "identity".
An identity just states that , or
something like it.
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To prove it's an identity, I should be able to plug in any value
for , and the equation will be true, so I'll say

yup, it's an identity