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10x-5=4x+4
We move all terms to the left:
10x-5-(4x+4)=0
We get rid of parentheses
10x-4x-4-5=0
We add all the numbers together, and all the variables
6x-9=0
We move all terms containing x to the left, all other terms to the right
6x=9
x=9/6
x=1+1/2
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