Multiply both sides by \(12\) (the LCM of \(2, 3, 4, 12\)).
\[6(x+1)+4(x+2)+3(x-5)=x\]
Expand.
\[6x+6+4x+8+3x-15=x\]
Simplify \(6x+6+4x+8+3x-15\) to \(13x-1\).
\[13x-1=x\]
Subtract \(13x\) from both sides.
\[-1=x-13x\]
Simplify \(x-13x\) to \(-12x\).
\[-1=-12x\]
Divide both sides by \(-12\).
\[\frac{-1}{-12}=x\]
Two negatives make a positive.
\[\frac{1}{12}=x\]
Switch sides.
\[x=\frac{1}{12}\]
Decimal Form: 0.083333
x=1/12
