To solve the equation 2x - 5 - 1/8x + 1 = 0, we need to follow these steps:
1. Combine like terms:
2x - 5 - 1/8x + 1 = 0
2x - 1/8x - 5 + 1 = 0
2x - 1/8x - 4 = 0
2. Combine x terms:
2x - 1/8x = 2x - 0.125x = 1.875x
3. Substitute back into the equation:
1.875x - 4 = 0
4. Add 4 to both sides of the equation:
1.875x = 4
5. Divide by 1.875 to isolate x:
x = 4 / 1.875
6. Calculate the value of x:
x ≈ 2.1333
Therefore, the solution to the equation 2x - 5 - 1/8x + 1 = 0 is x ≈ 2.1333.
