(x+10)(6)=x(11)

could never figure out how to do it when x is on both sides

6x + 60 = 11x

Move 11 x to left side. Move 60 to right side.
6x-11x = -60
-5x = -60
5x = 60
x = 12
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Check it by substituting 12 for x
(12 + 10)6 = 11(12)
(22)*6 = 132
132=132
so x = 12 must be correct.