Question

$$\frac{x}{2}+9=\frac{x}{5}+4$$

Answer

x=-50/3

Solution


Multiply both sides by \(10\) (the LCM of \(2, 5\)).
\[5x+90=2x+40\]
Subtract \(2x\) from both sides.
\[5x+90-2x=40\]
Simplify  \(5x+90-2x\)  to  \(3x+90\).
\[3x+90=40\]
Subtract \(90\) from both sides.
\[3x=40-90\]
Simplify  \(40-90\)  to  \(-50\).
\[3x=-50\]
Divide both sides by \(3\).
\[x=-\frac{50}{3}\]

Decimal Form: -16.666667