Answer:
x = 1.875
Step-by-step 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
