Question

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

Answer 1

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