Madao Factory

Linear Equations (Calculation)

The '=' Sign is a Balance Scale

An equation is like a balanced scale. As long as you do the exact same thing to both sides (add, subtract, multiply, or divide), the scale stays balanced. We use this property to reveal the unknown 'x'.

x + 38

Examples

  • If x + 3 = 8, subtract 3 from both sides to get x = 5.
  • If 2x = 10, divide both sides by 2 to get x = 5.

3 Points to Deepen Your Understanding

1. Properties of Equality

The equation remains true even if you add, subtract, multiply, or divide by the same number on both sides.

2. Transposition

When moving a term to the opposite side of the '=' sign, change its sign (+ to -, - to +). This is essentially adding/subtracting the same amount from both sides.

3. The Goal is 'x = ...'

Your ultimate goal is to isolate 'x' on the left side. Remove extra numbers using transposition and division.

Step-by-Step Solver

Equation:2x + 3 = 11
Transpose:2x = 11 - 3(8)
Answer:x = 4

Quick Drill

Let's try solving these basic linear equations!

x + 4 = 10
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