Question

6c+14=−5c+4+9c

What does C equal?

Answer 1

c = -5

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

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

`(2c)/(2)=(-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`