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The three consecutive even integers are: x, x+2, and x+4
3(x+4) = 2x+38 Simplify and solve for x.
3x+12 = 2x+38 Subtract 2x from both sides.
x+12 = 38 Subtract 12 from both sides.
x = 26
The three consecutive even integers are:
26, 28, and 30
Check:
3(30) = 2(26)+38
90 = 52+38
90 = 90 OK