In order to find the answer to this equation, you must combine like terms and subtract from both sides of the equation before dividing on both sides to isolate the variable (x).
Combine Like Terms - Variables
Get the terms with variables on the same side of the equation.
[tex]\displaystyle 3x + \frac{4}{5} = 7 - 2x[/tex]
[tex]\displaystyle 3x + 2x + \frac{4}{5} = 7 - 2x + 2x[/tex]
[tex]\displaystyle 5x +\frac{4}{5} = 7[/tex]
Combine Like Terms - Constants
Subtract [tex]\displaystyle \frac{4}{5}[/tex] from both sides of the equation to isolate the term with the variable.
[tex]\displaystyle 5x + \frac{4}{5} - \frac{4}{5} = 7 - \frac{4}{5}[/tex]
[tex]\displaystyle 5x = \frac{31}{5}[/tex]
Divide
Divide both sides of the equation by 5.
[tex]\displaystyle 5x = \frac{\frac{31}{5}}{5}[/tex]
[tex]\boxed{\displaystyle x = \frac{31}{25}}[/tex]
The final answer is x = 31/25.
