Answer:
To solve this equation, we can use basic algebraic principles to isolate the variable x on one side of the equation. Here's how:
1. Add 8 to both sides of the equation to eliminate the constant term on the left-hand side:
x/4 - 8 + 8 = 0.5x + 8
x/4 = 0.5x + 8
2. Simplify the right-hand side by combining like terms:
x/4 - 0.5x = 8
3. Combine the terms on the left-hand side by finding a common denominator:
x/4 - 2x/4 = 8
-x/4 = 8
4. Multiply both sides of the equation by -4 to isolate x:
(-4) * (-x/4) = (-4) * 8
x = -32
Therefore, the solution to the equation x/4 - 8 = 0.5x is x = -32.
Explanation: