Home > Algebra > Equations with Variables on Both Sides

How do you solve #-2(w+1)+w=7-4w#?

Answer 1

Isaiah Anthony

#w=3#

Let's start by distributing the #-2# on the left to the terms in parenthesis. We get:

#-2w-2+w=7-4w#

Then, by combining left terms on the left, we can obtain:

#-2-w=7-4w#

We can add #4w# to both sides to get:

#-2+3w=7#

Adding #2# to both sides, we get:

#3w=9#

And finally, we can divide both sides by #3# to get

#w=3#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Kennedy Adams

To solve the equation -2(w+1) + w = 7 - 4w:

Distribute the -2 to the terms inside the parentheses: -2w - 2 + w = 7 - 4w
Combine like terms: -w - 2 = 7 - 4w
Add 4w to both sides: 3w - 2 = 7
Add 2 to both sides: 3w = 9
Divide both sides by 3: w = 3

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.