Algebra

    Solve for x: 2x + 5 = 15

    Topic: Algebra · Difficulty: Easy

    All Practice Questions
    Quick Summary

    Question: Solve for x: 2x + 5 = 15
    Answer: x = 5

    Answer

    x = 5

    Step-by-Step Explanation

    Subtract 5 from both sides to get 2x = 10. Then divide both sides by 2 to get x = 5. This is a basic linear equation requiring two inverse operations.

    Understanding Algebra questions

    Algebra questions ask you to work with unknowns using the same balance rules on both sides of an equation. Once you can isolate a variable reliably, most school-level algebra becomes mechanical rather than tricky.

    How to approach it

    1. Simplify each side separately: expand brackets and combine like terms.
    2. Move variable terms to one side and constants to the other using inverse operations.
    3. Divide by the coefficient of the variable to isolate it.
    4. Substitute the answer back into the original equation to verify it.

    Common mistakes to avoid

    • Applying an operation to only one side of the equation.
    • Losing the sign when moving a negative term across the equals sign.
    • Combining unlike terms such as x and x².

    Where it appears: Core to CBSE Class 6–10 maths, IGCSE, IB MYP and every competitive aptitude paper.

    People Also Ask

    What is the first step in solving 2x + 5 = 15?

    The first step is to subtract 5 from both sides, leaving 2x = 10.

    How do you check the answer x = 5?

    Substitute back: 2(5) + 5 = 10 + 5 = 15. This matches the original equation.

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