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The equation is rewritten as . What effect does swapping the two sides have?

Class 7Simple EquationsSimple Equations
  • ANone — the equation and its solution are unchanged
  • BThe solution changes its sign
  • CEvery sign on the left must now be flipped
  • DIt is not allowed; the variable must always start on the left

Step-by-Step Solution

'=' means 'is equal to', and that works in both directions: and say exactly the same thing. Either way, → , and ✓. Nothing needs flipping — signs flip only for terms that CROSS the '=' sign, not for whole sides that trade places.
Answer: A) None — the equation and its solution are unchanged

Key idea: The balance principle

An equation is like a balance scale: LHS on one pan, RHS on the other, and the scale is level. Whatever you do to one side, you must do to the other to keep it balanced. So if you add 5 to LHS, add 5 to RHS. If you divide LHS by 3, divide RHS by 3.

Goal: isolate the variable on one side. Get by itself by undoing every operation around it, in reverse order, applied to BOTH sides.

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