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

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



2(x-2)+3=3(5-2x)
We move all terms to the left:
2(x-2)+3-(3(5-2x))=0
We add all the numbers together, and all the variables
2(x-2)-(3(-2x+5))+3=0
We multiply parentheses
2x-(3(-2x+5))-4+3=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 add all the numbers together, and all the variables
2x-(-6x+15)-1=0
We get rid of parentheses
2x+6x-15-1=0
We add all the numbers together, and all the variables
8x-16=0
We move all terms containing x to the left, all other terms to the right
8x=16
x=16/8
x=2

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