10x-(x-7)=3(5-x)

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Solution for 10x-(x-7)=3(5-x) equation:



10x-(x-7)=3(5-x)
We move all terms to the left:
10x-(x-7)-(3(5-x))=0
We add all the numbers together, and all the variables
10x-(x-7)-(3(-1x+5))=0
We get rid of parentheses
10x-x-(3(-1x+5))+7=0
We calculate terms in parentheses: -(3(-1x+5)), so:
3(-1x+5)
We multiply parentheses
-3x+15
Back to the equation:
-(-3x+15)
We add all the numbers together, and all the variables
9x-(-3x+15)+7=0
We get rid of parentheses
9x+3x-15+7=0
We add all the numbers together, and all the variables
12x-8=0
We move all terms containing x to the left, all other terms to the right
12x=8
x=8/12
x=2/3

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