Respuesta :

Answer: [tex]c=\frac{1}{2}[/tex]

Step-by-step explanation:

To find the solution, we have to solve for c by using inverse properties.

[tex]17c+3(4-2c)=5(7c)[/tex]         [multiply]

[tex]17c+12-6c=35c[/tex]               [combine like terms]

[tex]11c+12=35c[/tex]                      [subtract both sides by 11c]

[tex]12=24c[/tex]                                [divide both sides by 24]

[tex]c=\frac{12}{24}[/tex]                                   [simplify]

[tex]c=\frac{1}{2}[/tex]

So the solution is [tex]c=\frac{1}{2}[/tex].