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What is the solution to the equation
1/2× +3/2(×+1)-1/4=5?

User Kpogue
by
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1 Answer

2 votes

Answer:

15/8

Explanation:

Please use the letter " x " here instead of the multiplication operator " × ."

Your 1/2× +3/2(×+1)-1/4=5 is best written as

(1/2)x +(3/2)(x + 1) - (1/4) = 5

Perform the indicated multiplication. We get:

(1/2)x +(3/2)x + 3/2) - (1/4) = 5

The first two terms combine to yield 2x, so that the equation is now

2x + 3/2 - 1/4 = 5

The LCD is 4. Multiplying all terms by 4, we get:

8x + 6 - 1 = 20, or 8x + 5 = 20.

Simplifying this further, we get 8x = 15, so that

x = 15/8

User Suraken
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