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Question:

Solve the following equation and check your results: 2x - 1 = 14 - x

Solution:

To solve the equation 2x - 1 = 14 - x, we need to isolate x on one side of the equation.

  1. Add x to both sides:
    2x - 1 + x = 14 - x + x
    3x - 1 = 14

  2. Add 1 to both sides:
    3x - 1 + 1 = 14 + 1
    3x = 15

  3. Divide both sides by 3:
    3x / 3 = 15 / 3
    x = 5

Now, let's check our solution by substituting x = 5 back into the original equation:

2x - 1 = 14 - x
2(5) - 1 = 14 - 5
10 - 1 = 9
9 = 9

Since the equation holds true, our solution x = 5 is correct.