Question

$\frac{x}{6}-\frac{1}{4}=\frac{x}{4}+2$

Explanation:

Step1: Rewrite the given equation

$\frac{x}{6} - \frac{1}{4} = \frac{x}{4} + 2$

Step2: Eliminate denominators (LCM=12)

Multiply all terms by 12:
$12\times\frac{x}{6} - 12\times\frac{1}{4} = 12\times\frac{x}{4} + 12\times2$
Simplify: $2x - 3 = 3x + 24$

Step3: Isolate x terms

Subtract $2x$ from both sides:
$-3 = x + 24$

Step4: Solve for x

Subtract 24 from both sides:
$x = -3 - 24$

Answer:

$x = -27$