Question

Can someone please explain how to solve this?
1/2x + 3/2 (x+1) - 1/4 = 5
Thank you!!

Answer 1

x = 1.875

Explanation:

Step 1: Distribute

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

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

Step 2: Combine like terms

4/2x + 6/4 - 1/4 = 5

2x + 5/4 = 5

Step 3: Subtract 5/4 from both sides

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

2x = 3.75

Step 4: Divide both sides by 2

2x / 2 = 3.75 / 2

x = 1.875

Answer: x = 1.875