$2 x+4+6 x-12=x+15-32+8 x-10 x$
\(\boxed{x = -\frac{9}{10}}\)
Step 1 :Combine like terms on both sides of the equation: \(2x + 4 + 6x - 12 = x + 15 - 32 + 8x - 10x\)
Step 2 :Simplify the equation: \(9x + (-8) = (-x) + (-17)\)
Step 3 :Add x and 8 to both sides: \(10x = -9\)
Step 4 :Divide both sides by 10: \(x = -\frac{9}{10}\)
Step 5 :\(\boxed{x = -\frac{9}{10}}\)