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How do you solve #4x+2=2(x+3)+2(x-2)#?

Answer 1

Kennedy Adams

#"infinite number of solutions"#

#"distribute brackets on right side of equation"#

#4x+2=2x+6+2x-4#

#rArr4x+2=4x+2#

#"since both sides are identical then any value of x is"# #"a solution"#

#"there are an infinite number of solutions"#

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Answer 2

Eva Adamson

To solve the equation 4x + 2 = 2(x + 3) + 2(x - 2), you would first distribute the terms inside the parentheses:

2(x + 3) = 2x + 6 2(x - 2) = 2x - 4

Then, you would substitute these expressions back into the original equation:

4x + 2 = 2x + 6 + 2x - 4

Next, combine like terms:

4x + 2 = 4x + 2

Since both sides of the equation are the same, this equation is an identity, meaning it is true for all values of x. Therefore, there are infinitely many solutions.

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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.