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George and Bella are asked to solve −3x − 30 = 5x + 18. Identify where one of them made an error.


George


Bella

− 3x − 30 = 5x + 18

− 3x − 30 − 5x = 5x + 18 −5x

−8x − 30 = 18

− 8x − 30 + 30 = 18 + 30

−8x = 48

Negative 8x over negative 8 equals 48 over negative 8

x = − 6


− 3x − 30 = 5x + 18

−3x − 30 − 3x = 5x + 18 − 3x

− 30 = 2x + 18

−30 − 18 = 2x + 18 −18

− 48= 2x

Negative 48 over 2 equals 2x over 2

x=−24

Verified Answer :

for the second,
In the first step, instead of adding 3x for both sides, they subtract 3x instead.

boffeemadrid

Answer:

Bella made an error in step 2

Step-by-step explanation:

The given equation is:

-3x-30=5x+18

Rearranging the like terms, we get

⇒-3x-5x=18+30

⇒-8x=48

⇒x=-6

Thus, the correct value of x is -6.

Now, Bella made a mistake in her solution as:

-3x-30=5x+18

⇒−3x − 30 − 3x = 5x + 18 − 3x  (she should add 3x on both sides rather than subtracting)

⇒− 30 = 2x + 18

⇒−30 − 18 = 2x + 18 −18

⇒− 48= 2x

⇒x=-24

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