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What is the value of x in the equation Three-fourths (one-fourth x + 8) minus (one-half x + 2) = StartFraction 3 Over 8 EndFraction (4 minus x) minus one-fourth?

User Playful
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2 Answers

4 votes

Answer:

8

Explanation:

i just took it on edge and ANND GOT IT RIGHT so ignore that wrong person that would of took your 100 percent away or whatever present

User Abhig
by
7.5k points
7 votes

Answer:
x=-44

Explanation:

Given the following equation:


(3)/(4)((1)/(4)x+8)-((1)/(2)x+2)=(3)/(8)(4-x)-(1)/(4)

You can follow these steps in order to solve for "x" and find its value:

1. You must apply the Distributive property:


((1)/(4)x)((3)/(4))+(8)((3)/(4))-(1)/(2)x-2=(4)((3)/(8))-(x)((3)/(8))-(1)/(4)\\\\(3)/(16)x+6-(1)/(2)x-2=(3)/(2)}-(3)/(8)x-(1)/(4)

2. Add the like terms:


-(5)/(16)x+4=-(3)/(8)x+(5)/(4)

3. Add
(3)/(8)x to both sides of the equation:


-(5)/(16)x+4+(3)/(8)x=-(3)/(8)x+(5)/(4)+(3)/(8)x\\\\(1)/(16)x+4=(5)/(4)

4. Substract 4 from both sides of the equation:


(1)/(16)x+4-4=(5)/(4)-4\\\\(1)/(16)x=-(11)/(4)

5. Finally, multiply both sides of the equation by 16. Then, you get:


(16)((1)/(16)x)=(-(11)/(4))(16)\\\\x=-44

User Cato Yeung
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