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2(x-4)=6x+18
We move all terms to the left:
2(x-4)-(6x+18)=0
We multiply parentheses
2x-(6x+18)-8=0
We get rid of parentheses
2x-6x-18-8=0
We add all the numbers together, and all the variables
-4x-26=0
We move all terms containing x to the left, all other terms to the right
-4x=26
x=26/-4
x=-6+1/2
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