IndietroSolving Linear Equations and Checking Solutions
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Q1. Solve the equation and check your solution:
Background
Topic: Linear Equations
This question tests your ability to solve a linear equation by combining like terms, isolating the variable, and checking your solution by substitution.
Key Terms and Formulas
Linear equation: An equation involving only the first power of the variable.
Combining like terms: Adding or subtracting terms with the same variable.
Isolating the variable: Manipulating the equation to get the variable alone on one side.
Step-by-Step Guidance
Combine like terms on both sides of the equation. On the left, ; on the right, .
Rewrite the equation after combining like terms: .
Subtract from both sides to start isolating .
Simplify the equation after subtraction.

Try solving on your own before revealing the answer!
Final Answer:
After isolating , you get , so .
Substitute back into the original equation to check: both sides equal $0$, confirming the solution is correct.