Balance Principle Math Example 1

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Example 1

easy
Solve \(x + 7 = 15\) using the balance principle.

Solution

  1. 1
    An equation is like a balance scale — both sides must stay equal.
  2. 2
    To isolate \(x\), subtract 7 from both sides.
  3. 3
    \(x + 7 - 7 = 15 - 7\).
  4. 4
    \(x = 8\).
  5. 5
    Check: \(8 + 7 = 15\) ✓

Answer

\(x = 8\)
The balance principle: whatever you do to one side, do to the other. Subtract 7 from both sides to keep the equation balanced.

About Balance Principle

The rule that any operation applied to one side of an equation must also be applied to the other side to preserve equality.

Learn more about Balance Principle →

More Balance Principle Examples

Example 2 medium

Solve (3x - 4 = 14) using the balance principle, showing all steps.

Example 3 easy

Solve (n - 9 = 6) using the balance principle.

Example 4 medium

Solve (frac{x}{4} + 3 = 10).

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