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It's not difficult to see how this would look on paper.
Let's look at a simple problem.
X+4=13
Taking away 4 from one side and then taking an equal amount from the other side, it is easy to see that X=9
Complete worksheet
That problem requires little but intuition. Let's try something a little harder. How do you think we would try and solve this problem?
3x-6=9
Watch the Khan Academy video. Explain, in your own words, why balance is so important to Algebra.
2x+6=16
9x -7 = −7
v + 9
3
= 8