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0.5(4x-10)=6x-46
We move all terms to the left:
0.5(4x-10)-(6x-46)=0
We multiply parentheses
2x-(6x-46)-5=0
We get rid of parentheses
2x-6x+46-5=0
We add all the numbers together, and all the variables
-4x+41=0
We move all terms containing x to the left, all other terms to the right
-4x=-41
x=-41/-4
x=10+1/4
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