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Solve the equation: 2(x + 3) − 5 = 3x − 7

Mathematics

ScanSolve AI Answer

Step-by-step solution

5 steps

Let's solve this equation for x.

The equation is:
2(x + 3) - 5 = 3x - 7

  1. Distribute* the 2 on the left side of the equation.

    2x + 2(3) - 5 = 3x - 7
    2x + 6 - 5 = 3x - 7

  2. Combine* the constant terms on the left side.

    2x + 1 = 3x - 7

  3. Subtract* 2x from both sides of the equation to gather x terms on one side.

    1 = 3x - 2x - 7
    1 = x - 7

  4. Add* 7 to both sides of the equation to isolate x.

    1 + 7 = x
    8 = x

  5. State the final answer.

    x = 8

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