# math problem

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2^2x-1 = 32^x-2

2/x - 1/2x= 1/2
(2 over x minus 1 over 2x equals 1 over 2)

3/x + 8/x-5= 1
(3 over x plus 8 over x minus 5 equals 1)

• math problem -

2/x - 1/2x = 1/2
Make a common denominator on the left.
3/2x = 1/2
Cross-multiply.
2x = 6
Divide both sides by 2.
x = 3

Now you try one.

I am not sure what the exponents are in your first problem. If they are 2x-1 and x-2, rewrite the right side as a power of 2.
2^(2x-1) = (2^5)^(x-2) = 2^(5x-10)
The exponents of 2 must be equal.
2x - 1 = 5x - 10
3x = 9
x = 3

• math -

x over 4 is equal to negitive 1

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