literally, make an equation:
20.6 + 2.1x = -8.2x
left has two terms. you want to simplify the terms given in the equation.
Move -8.2x to left, (change sign of the term) or:
20.6 + 2.1x -2.1x = -8.2x -2.1x
20.6 = -10.3x
both sides need to be divided by -10.3 to solve for x:
20.6/(-10.3) = -10.3x /(-10.3)
-2 = x
You solved for x : x= -2
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21x + 9 = 180 21x = 180 - 9 21x = 171 x = 171/21 x = 8.143
20x + 5 - 20 = 21x + 4 -x = 4 + 15 x = -19
Your question is incomplete. 21x + 2 = [?] Whatever one does to one side they must do to the other so even if you divided by X you would have: 23 = ?/X
You plot the equation as a graph. Every one of the infinitely many points on the graph is a solution.
It is a parabola with its vertex at the origin and the arms going upwards.