Question

$$2x-4=5x+8$$

Answer

x=-4

Solution


Subtract \(2x\) from both sides.
\[-4=5x+8-2x\]
Simplify  \(5x+8-2x\)  to  \(3x+8\).
\[-4=3x+8\]
Subtract \(8\) from both sides.
\[-4-8=3x\]
Simplify  \(-4-8\)  to  \(-12\).
\[-12=3x\]
Divide both sides by \(3\).
\[-\frac{12}{3}=x\]
Simplify  \(\frac{12}{3}\)  to  \(4\).
\[-4=x\]
Switch sides.
\[x=-4\]