2(2x-5)=3(5-2x)

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Solution for 2(2x-5)=3(5-2x) equation:



2(2x-5)=3(5-2x)
We move all terms to the left:
2(2x-5)-(3(5-2x))=0
We add all the numbers together, and all the variables
2(2x-5)-(3(-2x+5))=0
We multiply parentheses
4x-(3(-2x+5))-10=0
We calculate terms in parentheses: -(3(-2x+5)), so:
3(-2x+5)
We multiply parentheses
-6x+15
Back to the equation:
-(-6x+15)
We get rid of parentheses
4x+6x-15-10=0
We add all the numbers together, and all the variables
10x-25=0
We move all terms containing x to the left, all other terms to the right
10x=25
x=25/10
x=2+1/2

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