Question 1108651
Perimeter = 2L + 2W. Agreed? If so:
2(3x + 4) + 2(x - 2) = 20 
Distributive Law of multiplication:
6x + 8 + 2x - 4 = 20 
Group similar:
6x + 2x + 8 - 4 = 20
8x + 4 = 20
Subtract 4, both sides:
8x = 16
x = 2
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Check:
2(3 * 2 + 4) + 2(2 - 2) = 20
2(6 + 4) + 4 - 4 = 20 
12 + 8 + 4 - 4 = 20
20 + 0 = 20 Correct