Question

$$8(6x-2)-9(3x+1)=x+55$$

Answer

x=4

Solution


Expand.
\[48x-16-27x-9=x+55\]
Simplify  \(48x-16-27x-9\)  to  \(21x-25\).
\[21x-25=x+55\]
Add \(25\) to both sides.
\[21x=x+55+25\]
Simplify  \(x+55+25\)  to  \(x+80\).
\[21x=x+80\]
Subtract \(x\) from both sides.
\[21x-x=80\]
Simplify  \(21x-x\)  to  \(20x\).
\[20x=80\]
Divide both sides by \(20\).
\[x=\frac{80}{20}\]
Simplify  \(\frac{80}{20}\)  to  \(4\).
\[x=4\]