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i don't understand my math hw help

hw:

Max wants to buy headphones which are 1/2 off. Those headphones have a tax of 5$. Max paid 51$ in total. what is the original price of the headphones?

Explain HOW you got your equation and solve/check.

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1 Answer

Let x be the original price.

(1/2)x + 5 = 51

Multiply both sides by 2,

x + 10 = 102

Add -10 to both sides,

x = $92 <==Answer

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