Solve for X: Finding X in -1/4x + 3 = 1/2 Linear Equation

Let's solve the equation $-\frac{1}{4}x + 3 = \frac{1}{2}$ following these steps:

• Step 1: Subtract 3 from both sides to eliminate the constant on the left.

$-\frac{1}{4}x + 3 - 3 = \frac{1}{2} - 3$

$-\frac{1}{4}x = \frac{1}{2} - 3$

Simplifying the right side gives:

$-\frac{1}{4}x = -\frac{5}{2}$

• Step 2: Multiply both sides by $-4$ to isolate $x$.

$x = -\frac{5}{2} \times (-4)$

$x = \frac{20}{2}$

$x = 10$

Thus, we find the solution to be $x = 10$.