When m takes what value, the solution of the equation 3x + m-2 (M + 2) = 3M + X is between - 5 and 5? (  ) A. -52<m<12B. -32<m<52C. -72<m<32D. -52<m<72

When m takes what value, the solution of the equation 3x + m-2 (M + 2) = 3M + X is between - 5 and 5? (  ) A. -52<m<12B. -32<m<52C. -72<m<32D. -52<m<72

3x + m-2 (M + 2) = 3M + X, 3x + m-2m-4 = 3M + X, 3x-x = 3M + 2m-m + 4, 2x = 4m + 4, x = 2m + 2, ∵ the solution of the equation 3x + m-2 (M + 2) = 3M + X is between - 5 and 5, ∵ - 5 < 2m + 2 < 5, the solution is: - 72 < m < 32, so choose: C