The equation has only one solution.
Step-by-step explanation:
Given Equation:
[tex]2 x+2 / 3=2 x+4 / 5-4 x[/tex]
Solution:
As the number of equation provided is one with number of unknown variable one, so it is solvable and gives the solution. The number of solution will be one.
2x+[tex]\frac{2}{3}[/tex]=2x+[tex]\frac{4}{5}[/tex]-4x
or, 2x-2x+4x = [tex]-\frac{2}{3}[/tex] + [tex]\frac{4}{5}[/tex]
or, 4x = [tex]\frac{-10+12}{15}[/tex]
or, x= [tex]\frac{1}{30}[/tex]
Hence the solution is x= [tex]\frac{1}{30}[/tex] .
