Which value of x makes the equation 4(x − 2) + 3 = 2x + 7 true?

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Question

Which value of x makes the equation 4(x − 2) + 3 = 2x + 7 true?

Accepted Answer

x = 6 — Expanding: 4x − 8 + 3 = 2x + 7 → 4x − 5 = 2x + 7 → 2x = 12 → x = 6. Substituting x = 6: 4(4) + 3 = 19 and 2(6) + 7 = 19 ✓. Options A, B, and D result from errors such as failing to distribute the 4 correctly or making arithmetic mistakes when combining like terms.

Answer

x = 4

Answer

x = 6

Answer

x = 2

Answer

x = 8

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