How do you solve #2x - 4= - 4x - 4+ 6x#?
2 Answers
It's important to realize there's multiple ways to solve problems like these, but I will do what I believe is the most straightforward way.
Explanation:
First, look for any like terms we can combine. On the right hand side, we have a -4x and a 6x. We can add these to get 2x.
New equation: 2x-4= 2x-4
Notice both sides of the equation are exactly the same. We can add 4 to both sides, which will cancel out both -4s and leave us with 2x=2x.
The only other thing we can really do to the equation 2x=2x is divide both sides by 2, which would result in x=x. A solution of this means than x can take on any value and still satisfy the original equation.
Extra: When you arrive at a one-variable equation such as 2x=2x, where both sides of the equation are the same, this is a clue that x can take on any value, because both sides of the equation will always simplify to the same thing respectively.
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Explanation:
Collect like terms from the R.H.S
Collect like terms on both sides..