Answer:
x = 10
Step-by-step explanation:
First, distribute:
[tex]\frac{1}{5} x - \frac{2}{5} =\frac{1}{10} x+\frac{6}{10}[/tex]
Next, subtract [tex]\frac{1}{5}x[/tex] from both sides:
[tex]-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}[/tex]
(multiply [tex]\frac{1}{5}x[/tex] by 2 to get common denominator, [tex]\frac{2}{10} x[/tex] )
[tex]-\frac{2}{5} =-\frac{1}{10}x +\frac{6}{10}[/tex]
Next, subtract [tex]\frac{6}{10}[/tex] from both sides:
[tex]-\frac{2}{5} -\frac{6}{10} =-\frac{1}{10} x[/tex]
(multiply [tex]\frac{2}{5}[/tex] by 2 to get common denominator, [tex]\frac{4}{10}[/tex] )
[tex]-\frac{10}{10} =-\frac{1}{10} x[/tex] ⇒ [tex]-1=-\frac{1}{10} x[/tex]
Next, multiply both sides by 10:
[tex]-10=-x[/tex]
FInally, divide both sides by -1:
x = 10
