Question

4(6c+5) - 2(3c - 5) = 120

Answer 1

`c=5`

Explanation:

`4(6c+5)-2(3c-5)=120`

Use the distributive property to expand the equation:

`4(6c)+4(5)-2(3c)-2(-5)=120\\\\24c+20-6c+10=120`

Combine like terms to simplify the equation:

`24c-6c+20+10=120\\\\18c+30=120`

Subtract 30 from both sides:

`18c+30-30=120-30\\\\18c=90`

Isolate the variable c. Divide both sides by 18:

`(18c)/(18)=(90)/(18)\\\\ c=5`

So, c is equal to 5.

:Done