Question

$$6x+4=x-3/6$$

Answer

x=-9/10

Solution


Simplify  \(\frac{3}{6}\)  to  \(\frac{1}{2}\).
\[6x+4=x-\frac{1}{2}\]
Subtract \(x\) from both sides.
\[6x+4-x=-\frac{1}{2}\]
Simplify  \(6x+4-x\)  to  \(5x+4\).
\[5x+4=-\frac{1}{2}\]
Subtract \(4\) from both sides.
\[5x=-\frac{1}{2}-4\]
Simplify  \(-\frac{1}{2}-4\)  to  \(-\frac{9}{2}\).
\[5x=-\frac{9}{2}\]
Divide both sides by \(5\).
\[x=-\frac{\frac{9}{2}}{5}\]
Simplify  \(\frac{\frac{9}{2}}{5}\)  to  \(\frac{9}{2\times 5}\).
\[x=-\frac{9}{2\times 5}\]
Simplify  \(2\times 5\)  to  \(10\).
\[x=-\frac{9}{10}\]

Decimal Form: -0.9