- A−4
- B10
- C4
- D12
Step-by-Step Solution
Substitute into both sides: , so . Check: and . The trap −4 comes from transposing on the wrong side , and 12 is 30 − 18 with the −8 forgotten.
Answer: C) 4
For which value of does the equation have the solution ?
Class 8Linear Equations in One VariableLinear Equations
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.
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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More Class 8 Linear Equations in One Variable practice
A student began solving 5(x − 2) = 3x + 4 by writing 5x − 2 = 3x + 4 in the first line.…Which of these is NOT a linear equation in one variable?Two-fifths of a number is 14 less than three-fourths of the same number. Find the number.Solve 5(x − 1) − 2(x + 3) = 2(x − 4) + 7.The scale is balanced. Every bag weighs x kg and every small block weighs 1 kg. What is x?