<PRE><B>Question 891537</B>
P = perimeter
L = length
W = width


P = 2L + 2W


P = 78


L = 2x-4
W = 2x+3


P = 2L + 2W becomes:


78 = 2(2x-4) + 2(2x+3)


simplify to get:


78 = 4x - 8 + 4x + 6


simplify to get 78 = 8x - 2


add 2 to both sides of the equation to get:


80  = 8x


divide both sides of the equation by 8 to get:


x = 10


when x = 10, your original equation of:


78 = 2(2x-4) + 2(2x+3) becomes:


78 = 2(2*10-4) + 2(2*10+3) which becomes:


78 = 2 * 16 + 2 * 23 which becomes:


78 = 32 + 46 which becomes:


78 = 78


this confirms the solution os x = 10 is correct.





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