SOLUTION: How do you solve equations like this one 5[2-(2x-4)]=2(5-3x)

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Question 55053: How do you solve equations like this one 5[2-(2x-4)]=2(5-3x)
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
5[2-(2x-4)]=2(5-3x)
Start by working within the [ ]
5[-2x-2]=2(5-3x)
Distribute the 5 across the [ ]
+-10x-10=2%285-3x%29+
On the right side, distribute the 2
+-10x-10=10-6x+
Since the -10x is the smaller x value, move it by adding 10x to both sides
+-10x%2B10x-10=10-6x%2B10x+
Combine like terms
+-10=10%2B4x+
Sumbtract 10 from both sides
+-10-10+=+10%2B4x-10+
Combine like terms
+-20+=+4x+
Divide by 4
+-5+=+x+