Multiply both sides by \(14\) (the LCM of \(7, 14\)).
\[2(x+1)+14x=3x-4+84\]
Simplify \(3x-4+84\) to \(3x+80\).
\[2(x+1)+14x=3x+80\]
Expand.
\[2x+2+14x=3x+80\]
Simplify \(2x+2+14x\) to \(16x+2\).
\[16x+2=3x+80\]
Subtract \(2\) from both sides.
\[16x=3x+80-2\]
Simplify \(3x+80-2\) to \(3x+78\).
\[16x=3x+78\]
Subtract \(3x\) from both sides.
\[16x-3x=78\]
Simplify \(16x-3x\) to \(13x\).
\[13x=78\]
Divide both sides by \(13\).
\[x=\frac{78}{13}\]
Simplify \(\frac{78}{13}\) to \(6\).
\[x=6\]
x=6
