$2 x=4\left(\frac{1}{4}-\frac{3}{4} x\right)-6$
\(\boxed{x = -1}\)
Step 1 :\(2x = 4\left(\frac{1}{4} - \frac{3}{4}x\right) - 6\)
Step 2 :\(2x = 4\left(\frac{1}{4} - \frac{3}{4}x\right) - 6\)
Step 3 :\(2x = 1 - 3x - 6\)
Step 4 :\(2x + 3x = 1 - 6\)
Step 5 :\(5x = -5\)
Step 6 :\(\boxed{x = -1}\)