Question

$$0.4(x+6)= \frac{ x }{ 3 } +1$$

Answer

x=-21

Solution


Multiply both sides by \(3\).
\[1.2(x+6)=x+3\]
Expand.
\[1.2x+7.2=x+3\]
Subtract \(x\) from both sides.
\[1.2x+7.2-x=3\]
Simplify  \(1.2x+7.2-x\)  to  \(0.2x+7.2\).
\[0.2x+7.2=3\]
Subtract \(7.2\) from both sides.
\[0.2x=3-7.2\]
Simplify  \(3-7.2\)  to  \(-4.2\).
\[0.2x=-4.2\]
Divide both sides by \(0.2\).
\[x=-\frac{4.2}{0.2}\]
Simplify  \(\frac{4.2}{0.2}\)  to  \(21\).
\[x=-21\]