Final answer:
To solve 4x - 1 divided by 2 = x + 7, we multiply both sides by 2, rearrange to get x terms on one side, and then divide by the coefficient of x, which gives x = 7.5.
Step-by-step explanation:
To solve the equation 4x - 1 divided by 2 = x + 7, we need to first isolate the variable x on one side of the equation. Start by multiplying both sides of the equation by 2 to get rid of the fraction:
2 * ( (4x - 1) / 2 ) = 2 * (x + 7)
This simplifies to:
4x - 1 = 2x + 14
Next, we rearrange the equation to get all terms with x on the same side:
4x - 2x = 14 + 1
2x = 15
Finally, divide both sides by 2 to solve for x:
x = 15 / 2
x = 7.5