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0.5x+15=2.5x-5
We move all terms to the left:
0.5x+15-(2.5x-5)=0
We get rid of parentheses
0.5x-2.5x+5+15=0
We add all the numbers together, and all the variables
-2x+20=0
We move all terms containing x to the left, all other terms to the right
-2x=-20
x=-20/-2
x=+10
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