Solve for X: -8x + 1/4 - 3 = -8x Linear Equation

We will begin by simplifying both sides of the given equation:

Given: $-8x + \frac{1}{4} - 3 = 0 - 8x$.

• Simplify the left side: Combine the constant terms.

We have $-8x + \frac{1}{4} - 3$. Converting $-3$ to quarters, we get $-3 = -\frac{12}{4}$. Thus, combine:

$-8x + \frac{1}{4} - \frac{12}{4} = -8x - \frac{11}{4}$.

• The right side remains as $0 - 8x = -8x$.
• Now, the equation is:

$-8x - \frac{11}{4} = -8x$.

• Next, subtract $-8x$ from both sides to simplify:

$-\frac{11}{4} = 0$.

This leads to a contradiction since $-\frac{11}{4}$ is not equal to $0$.

Therefore, the equation has no solution for $x$.

Hence, the correct answer is There is no solution.