Solve |2x - 5| = 7.

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Multiple Choice

Solve |2x - 5| = 7.

Explanation:
When you see an absolute value equation like |2x - 5| = 7, the expression inside the bars must be either 7 or -7. So set up two equations: 2x - 5 = 7 and 2x - 5 = -7. From 2x - 5 = 7, you get 2x = 12, so x = 6. From 2x - 5 = -7, you get 2x = -2, so x = -1. Therefore, the solutions are x = 6 and x = -1. Check: x = 6 yields |12 - 5| = 7, and x = -1 yields |-2 - 5| = 7. The other values don’t satisfy the equation because they don’t make the inside equal to ±7 (for example, x = 0 gives |-5| = 5, not 7).

When you see an absolute value equation like |2x - 5| = 7, the expression inside the bars must be either 7 or -7. So set up two equations: 2x - 5 = 7 and 2x - 5 = -7.

From 2x - 5 = 7, you get 2x = 12, so x = 6. From 2x - 5 = -7, you get 2x = -2, so x = -1. Therefore, the solutions are x = 6 and x = -1.

Check: x = 6 yields |12 - 5| = 7, and x = -1 yields |-2 - 5| = 7. The other values don’t satisfy the equation because they don’t make the inside equal to ±7 (for example, x = 0 gives |-5| = 5, not 7).

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