Algebra

How to solve

An equation states that two expressions are equal. To isolate x, undo whatever operation is applied to it by doing the inverse on both sides — that keeps the equality true while peeling the equation down to x = something.

Steps

  1. Identify the operation acting on x (usually multiplication by a coefficient).
  2. Apply the inverse operation to both sides (divide by that coefficient for ax = b).
  3. Check by substituting the solution back into the original equation.

Example

Solve 5x = 35.

  1. Divide both sides by 5: x = 35/5.
  2. Simplify: x = 7.

Answer: 7

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