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Solve .

Class 8Linear Equations in One VariableLinear Equations
  • A4
  • B12
  • C10
  • D−2

Step-by-Step Solution

Open every bracket: , so and . Check: and . Writing as — failing to carry the minus onto the 3 — gives and the trap −2.
Answer: C) 10

Key idea: The five-step recipe

For any linear equation in one variable, follow this order:

1. **Open brackets** if any (use distributive property).
2. **Clear fractions** by multiplying both sides by the LCM of all denominators.
3. **Move all variable terms to one side**, all constants to the other (transposition — flip signs).
4. **Combine like terms** on each side.
5. **Divide** both sides by the coefficient of the variable.

Then **verify** by substituting back into the original equation. Always.

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