An equation can either have a solution, no solution or infinite many solutions
The equation has one solution.
The equation is given as:
[tex]\mathbf{3(x - 2) = 22 - x}[/tex]
Open bracket
[tex]\mathbf{3x - 6 = 22 - x}[/tex]
Collect like terms
[tex]\mathbf{3x + x = 6 + 22}[/tex]
Evaluate like terms
[tex]\mathbf{4x = 28}[/tex]
Divide both sided by 4
[tex]\mathbf{x = 7}[/tex]
The above equation is true for x = 7
This means that: the equation has one solution.
Read more about equation solutions at:
https://brainly.com/question/2497547
