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10x+50=25x+10
We move all terms to the left:
10x+50-(25x+10)=0
We get rid of parentheses
10x-25x-10+50=0
We add all the numbers together, and all the variables
-15x+40=0
We move all terms containing x to the left, all other terms to the right
-15x=-40
x=-40/-15
x=2+2/3
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