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3x+8=5x-7/3
We move all terms to the left:
3x+8-(5x-7/3)=0
We add all the numbers together, and all the variables
3x-(+5x-7/3)+8=0
We get rid of parentheses
3x-5x+8+7/3=0
We multiply all the terms by the denominator
3x*3-5x*3+7+8*3=0
We add all the numbers together, and all the variables
3x*3-5x*3+31=0
Wy multiply elements
9x-15x+31=0
We add all the numbers together, and all the variables
-6x+31=0
We move all terms containing x to the left, all other terms to the right
-6x=-31
x=-31/-6
x=5+1/6
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