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From Solution to Equation

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From Solution to Equation:

  • Equation ⇒ Solution (normal path)

  • Solution ⇒ Equation (reverse path)

Starting with x = 2.

x = 2.

Multiply both sides by 3 ⇒ 3x = 6.

Add 4 to both sides  ⇒ 3x + 4 = 10.

This has resulted in an equation. If we follow the reverse path with each step, as shown on the right, we get the solution of the equation.

Take another example,

x = 5

Multiply both sides by 3 ⇒ 3x = 15

Add 4 to both sides ⇒ 3x + 4 = 19.

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