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2x-5=10x-50
We move all terms to the left:
2x-5-(10x-50)=0
We get rid of parentheses
2x-10x+50-5=0
We add all the numbers together, and all the variables
-8x+45=0
We move all terms containing x to the left, all other terms to the right
-8x=-45
x=-45/-8
x=5+5/8
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