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2x=5x-22
We move all terms to the left:
2x-(5x-22)=0
We get rid of parentheses
2x-5x+22=0
We add all the numbers together, and all the variables
-3x+22=0
We move all terms containing x to the left, all other terms to the right
-3x=-22
x=-22/-3
x=7+1/3
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