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2x-5=6x+10-x/3
We move all terms to the left:
2x-5-(6x+10-x/3)=0
We add all the numbers together, and all the variables
2x-(6x-x/3+10)-5=0
We get rid of parentheses
2x-6x+x/3-10-5=0
We multiply all the terms by the denominator
2x*3-6x*3+x-10*3-5*3=0
We add all the numbers together, and all the variables
x+2x*3-6x*3-45=0
Wy multiply elements
x+6x-18x-45=0
We add all the numbers together, and all the variables
-11x-45=0
We move all terms containing x to the left, all other terms to the right
-11x=45
x=45/-11
x=-4+1/11
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