Equal Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
Find the value of xx that makes 2x+3=112x + 3 = 11 true.

Solution

  1. 1
    The equation says: some number doubled and increased by 3 equals 11.
  2. 2
    Subtract 3 from both sides to keep balance: 2x=11−3=82x = 11 - 3 = 8.
  3. 3
    Divide both sides by 2: x=4x = 4. Check: 2(4)+3=8+3=112(4) + 3 = 8 + 3 = 11 ✓.

Answer

x=4x = 4
Equality is maintained by performing the same operation on both sides — the balance metaphor. Subtracting 3 and then dividing by 2 both preserve equality. The check confirms the solution.

About Equal

Having exactly the same value or amount; the relationship expressed by the symbol == between two expressions.

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More Equal Examples

Example 1 easy

Is the equation [formula] true? Show why.

Example 3 easy

Fill in the blank: [formula].

Example 4 medium

Determine whether [formula]. Justify your answer.

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