ANSWER
No solution
EXPLANATION
To solve this equation for x first we have to solve the parenthesis on each side of the equation,
[tex]\begin{gathered} (0.7x-2.1)-(0.5-2x)=0.9(3x-1)+0.1 \\ 0.7x-2.1-0.5+2x=0.9\cdot3x-0.9\cdot1+0.1 \end{gathered}[/tex][tex]0.7x-2.1-0.5+2x=2.7x-0.9+0.1[/tex]Then, we have to add like terms on each side,
[tex]\begin{gathered} (0.7x+2x)+(-2.1-0.5)=2.7x+(-0.9+0.1) \\ 2.7x-2.6=2.7x-0.8 \end{gathered}[/tex]Next, we have to subtract 2.7x from both sides of the equation,
[tex]\begin{gathered} 2.7x-2.7x-2.6=2.7x-2.7x-0.8 \\ -2.6=-0.8 \end{gathered}[/tex]x is eliminated from the equation, but the equality that remains is not true. This means that there is no solution.
