4(2x-7)=5(5-x)

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Solution for 4(2x-7)=5(5-x) equation:



4(2x-7)=5(5-x)
We move all terms to the left:
4(2x-7)-(5(5-x))=0
We add all the numbers together, and all the variables
4(2x-7)-(5(-1x+5))=0
We multiply parentheses
8x-(5(-1x+5))-28=0
We calculate terms in parentheses: -(5(-1x+5)), so:
5(-1x+5)
We multiply parentheses
-5x+25
Back to the equation:
-(-5x+25)
We get rid of parentheses
8x+5x-25-28=0
We add all the numbers together, and all the variables
13x-53=0
We move all terms containing x to the left, all other terms to the right
13x=53
x=53/13
x=4+1/13

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