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3 votes
Does anyone know the answer to this question please/thank you
3x+2/4=x+4/2

2 Answers

4 votes

Answer: x=3/4

Explanation:

Step 1- convert 2/4 to 1/2 and 4/2 to 2

Step 2- Subtract 1/2 from both sides and subtract x from both sides

Step 3- You have 2x=3/2. Divide by 2 both sides. Do KCF, 3/2*1/2=3/4.

Step 4- Solution is 3/4

User Tugrul
by
8.1k points
3 votes

The solution to the equation is x = 6.

Explanation:

To find the value of x in the equation (3x + 2)/4 = (x + 4)/2, you can start by clearing the denominators. You can do this by multiplying both sides of the equation by the least common multiple (LCM) of 4 and 2, which is 4.

(4) * (3x + 2)/4 = (4) * (x + 4)/2

This simplifies the equation to:

3x + 2 = 2(x + 4)

Now, distribute the 2 on the right side of the equation:

3x + 2 = 2x + 8

Next, subtract 2x from both sides of the equation:

3x - 2x + 2 = 2x - 2x + 8

This simplifies to:

x + 2 = 8

Now, subtract 2 from both sides:

x + 2 - 2 = 8 - 2

This gives you:

x = 6

User Aydjay
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8.3k points