Answer:
[tex]c=5[/tex]
Step-by-step explanation:
[tex]4(6c+5)-2(3c-5)=120[/tex]
Use the distributive property to expand the equation:
[tex]4(6c)+4(5)-2(3c)-2(-5)=120\\\\24c+20-6c+10=120[/tex]
Combine like terms to simplify the equation:
[tex]24c-6c+20+10=120\\\\18c+30=120[/tex]
Subtract 30 from both sides:
[tex]18c+30-30=120-30\\\\18c=90[/tex]
Isolate the variable c. Divide both sides by 18:
[tex]\frac{18c}{18}=\frac{90}{18}\\\\ c=5[/tex]
So, c is equal to 5.
:Done