Balanced Equation

When the LHS = RHS of an equation, then it is said to be a Balanced Equation.

1. If we add the same number to both the sides.

We can add the same number on both the sides of a balanced equation, the equation will remain the same.

12 – 8 = 3 + 1

If we add 3 to both the sides,

12 – 8 + 3 = 7

3 + 1 + 3 = 7

LHS = RHS

2. If we subtract the same number from both sides.

We can subtract the same number from both the sides of a balanced equation, the equation will remain the same.

12 – 8 = 3 + 1

If we subtract 3 from both the sides,

12 – 8 – 3 = 1

3 + 1 -3 = 1

LHS = RHS

3. If we multiply the same number to both the sides.

We can multiply the same number on both the sides of a balanced equation, the equation will remain the same.

12 – 8 = 3 + 1

If we multiply 3 to both the sides,

(12 - 8) \times 3 = 36 - 24 = 12

(3 + 1) \times 3 = 9 + 3 = 12

LHS = RHS

4. If we divide the same number from both sides.

We can divide the same number from both the sides of a balanced equation, the equation will remain the same.

12 – 8 = 3 + 1

If we divide both the sides by 2,

(12 - 8) \div 2 = 4 \div 2 = 2

(3 + 1) \div 2 = 4 \div 2 = 2

LHS = RHS

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