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3(2-x)=52(x-7)+2
We simplify the equation to the form, which is simple to understand
3(2-x)=52(x-7)+2
Reorder the terms in parentheses
+(+6-3x)=52*(x-7)+2
Remove unnecessary parentheses
+6-3x=+52+*(+x-7+)+2
Reorder the terms in parentheses
+6-3x=+(+52x-364)+2
Remove unnecessary parentheses
+6-3x=+52x-364+2
We move all terms containing x to the left and all other terms to the right.
-3x-52x=-364+2-6
We simplify left and right side of the equation.
-55x=-368
We divide both sides of the equation by -55 to get x.
x=6.6909090909091
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