Question

$$1-6x/3-3=1-5x/6$$

Answer

x=-18/7

Solution


Cancel \(1\) on both sides.
\[-6\times \frac{x}{3}-3=-5\times \frac{x}{6}\]
Simplify  \(6\times \frac{x}{3}\)  to  \(2x\).
\[-2x-3=-5\times \frac{x}{6}\]
Simplify  \(5\times \frac{x}{6}\)  to  \(\frac{5x}{6}\).
\[-2x-3=-\frac{5x}{6}\]
Multiply both sides by \(6\).
\[-12x-18=-5x\]
Add \(12x\) to both sides.
\[-18=-5x+12x\]
Simplify  \(-5x+12x\)  to  \(7x\).
\[-18=7x\]
Divide both sides by \(7\).
\[-\frac{18}{7}=x\]
Switch sides.
\[x=-\frac{18}{7}\]

Decimal Form: -2.571429