Answer:
x=13
Step-by-step explanation:
Given:
(x+3):(x+7)=(x+7):(x+12)
Therefore,
(x+7)²=(x+3)(x+12)
x²+49+14x=x(x+12)+3(x+12)
x²+49+14x=x²+12x+3x+36
x²+49+14x=x²+15x+36
Divide both sides by x²
49+14x=15x+36
49-36=15x-14x
13=x
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Answers & Comments
Answer:
x=13
Step-by-step explanation:
Given:
(x+3):(x+7)=(x+7):(x+12)
Therefore,
(x+7)²=(x+3)(x+12)
x²+49+14x=x(x+12)+3(x+12)
x²+49+14x=x²+12x+3x+36
x²+49+14x=x²+15x+36
Divide both sides by x²
49+14x=15x+36
49-36=15x-14x
13=x
x=13