[tex]7x +3 = 2x - 4 \\ 7x - 2x = - 4 - 3 \\ 5x = - 7 \\ x = \frac{ - 7}{5} \longrightarrow - \frac{7}{5} [/tex]
[tex]7 ( - \frac{7}{5} )+ 3 = 2( - \frac{7}{5} ) - 4 \\ - \frac{49}{5} + 3 = - \frac{14}{5} - 4 \\ - \frac{49}{5} + \frac{15}{5} = - \frac{14}{5} - \frac{20}{5} \\ - \frac{34}{5} = - \frac{34}{5} [/tex]
The equation is true for the value of x. Therefore the answer is x = -7/5
[tex] \large \boxed{x = - \frac{7}{5} }[/tex]