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].