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2x-5(x-3)=5+3x-22
We move all terms to the left:
2x-5(x-3)-(5+3x-22)=0
We add all the numbers together, and all the variables
2x-5(x-3)-(3x-17)=0
We multiply parentheses
2x-5x-(3x-17)+15=0
We get rid of parentheses
2x-5x-3x+17+15=0
We add all the numbers together, and all the variables
-6x+32=0
We move all terms containing x to the left, all other terms to the right
-6x=-32
x=-32/-6
x=5+1/3
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