2(x+2)-3(x+1)=2(x+3)-5(x-5)

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Solution for 2(x+2)-3(x+1)=2(x+3)-5(x-5) equation:



2(x+2)-3(x+1)=2(x+3)-5(x-5)
We move all terms to the left:
2(x+2)-3(x+1)-(2(x+3)-5(x-5))=0
We multiply parentheses
2x-3x-(2(x+3)-5(x-5))+4-3=0
We calculate terms in parentheses: -(2(x+3)-5(x-5)), so:
2(x+3)-5(x-5)
We multiply parentheses
2x-5x+6+25
We add all the numbers together, and all the variables
-3x+31
Back to the equation:
-(-3x+31)
We add all the numbers together, and all the variables
-1x-(-3x+31)+1=0
We get rid of parentheses
-1x+3x-31+1=0
We add all the numbers together, and all the variables
2x-30=0
We move all terms containing x to the left, all other terms to the right
2x=30
x=30/2
x=15

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