Answer:
[tex]x=-\frac{1}{6}[/tex]
Step-by-step explanation:
Given equation:
[tex]\frac{2}{3x} - 2 + 6[/tex]
Making the equation in standard form to find the value of 'x':
[tex]\frac{2}{3x}-2+6=0[/tex]
Taking the terms of 'x' to one side and the constants to the other side:
[tex]\frac{2}{3x}+4=0\\[/tex]
Subtracting '4' both sides:
[tex]\frac{2}{3x}=-4[/tex]
On cross multiplication:
[tex]2=-4(3x)[/tex]
[tex]2=-12x[/tex]
[tex]x=\frac{2}{-12} \\[/tex]
[tex]x=-\frac{1}{6}[/tex]
