Answer:
x = 9
Step-by-step explanation:
[tex]\frac{\frac{1}{5} x+1}{7} =0.4[/tex] <------------------ convert the decimal into a fraction
[tex]\frac{\frac{x+5}{5} }{7} =0.4[/tex] <------------------ simplify the complex fraction
[tex]\frac{x+5}{35} =0.4[/tex]
[tex]x+5=14[/tex] <------- multiply both sides of the equation by 35
[tex]x=14-5[/tex] <--- move the constant to the right-hand side and change its sign
x = 9 <---------- subtract the numbers
