Question

6c+14=−5c+4+9c What does C equal?

Answer 1

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

Answer 2

Answer: c = -5

Step-by-step explanation:

$6c+14=-5c+4+9c$

Combine like terms

$6c+14=4c+4$

Subtract 4c from both sides.

$-4c+6c+14=4c+4-4c\\2c+14=4$

Subtract 14 from both sides.

$2c+14-14=4-14\\2c=-10$

Divide by 2 to isolate c

$\frac{2c}{2}=\frac{-10}{2}\\ c=-5$

Check:

$6c+14=-5c+4+9c\\6(-5)+14=-5(-5)+4+9(-5)\\-30+14=25+4-45\\-16=29-45\\-16=-16$