Respuesta :
Answer: c = -5
Step-by-step explanation:
[tex]6c+14=-5c+4+9c[/tex]
Combine like terms
[tex]6c+14=4c+4[/tex]
Subtract 4c from both sides.
[tex]-4c+6c+14=4c+4-4c\\2c+14=4[/tex]
Subtract 14 from both sides.
[tex]2c+14-14=4-14\\2c=-10\\[/tex]
Divide by 2 to isolate c
[tex]\frac{2c}{2}=\frac{-10}{2}\\ c=-5[/tex]
Check:
[tex]6c+14=-5c+4+9c\\6(-5)+14=-5(-5)+4+9(-5)\\-30+14=25+4-45\\-16=29-45\\-16=-16[/tex]
Answer:
c = -5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6c + 14= (−5c + 9c) + (4). This combines like terms first.
6c + 14 = 4c + 4
Step 2: Subtract 4c from both sides
4c < 6c, so we subtract 4c from 6c.
2c + 14 = 4
Step 3: Subtract 14 from both sides
2c = -10
Step 4: Divide both sides by 2
c = -5