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3.x-5+7x=5.3-x
We move all terms to the left:
3.x-5+7x-(5.3-x)=0
We add all the numbers together, and all the variables
3.x+7x-(-1x+5.3)-5=0
We add all the numbers together, and all the variables
10x-(-1x+5.3)-5=0
We get rid of parentheses
10x+1x-5.3-5=0
We add all the numbers together, and all the variables
11x-10.3=0
We move all terms containing x to the left, all other terms to the right
11x=10.3
x=10.3/11
x=7.9230769230769/8.4615384615385
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