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12x/5+7=31-3x/5
We move all terms to the left:
12x/5+7-(31-3x/5)=0
We add all the numbers together, and all the variables
12x/5-(-3x/5+31)+7=0
We get rid of parentheses
12x/5+3x/5-31+7=0
We multiply all the terms by the denominator
12x+3x-31*5+7*5=0
We add all the numbers together, and all the variables
15x-120=0
We move all terms containing x to the left, all other terms to the right
15x=120
x=120/15
x=8
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