Solve the Fraction Equation: Isolate X in -1/4(x-2)=3

To solve this problem, we will proceed with the following steps:

• Step 1: Start with the given equation: $-\frac{1}{4}(x-2)=3$.
• Step 2: Multiply both sides by -4 to eliminate the fraction: $(-4) \times -\frac{1}{4}(x-2) = (-4) \times 3$.
• Step 3: Simplify: $(x-2) = -12$.
• Step 4: Solve for $x$ by adding 2 to both sides: $x = -12 + 2$.
• Step 5: Simplify to find the value of $x$: $x = -10$.

Therefore, the solution to the equation is $x = -10$.

According to the multiple-choice options, the correct answer is choice 2: -10.