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How do you solve #2x = 5x -12#?

Answer 1

Genesis Allen

#x=4#

we get by adding #12# on both sides

#12+2x=5x# subtracting #2x# on both sides #12=3x#

so #x=4#

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Answer 2

Genesis Allen

#x=4#

First solve for #x# by subtracting #5x# from both sides:

#-3x=-12#

To make things a little bit nicer, multiply both sides by #-1#:

#3x=12#

Then solve for #x# by dividing both sides by #3#:

#x=4#

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Answer 3

Nathan Axel

To solve the equation 2x = 5x - 12, you need to isolate the variable x on one side of the equation. You can do this by subtracting 2x from both sides of the equation. This yields:

2x - 2x = 5x - 12 - 2x

Simplify:

0 = 3x - 12

Next, add 12 to both sides of the equation to isolate the term containing x:

0 + 12 = 3x - 12 + 12

Simplify:

12 = 3x

Now, divide both sides of the equation by 3 to solve for x:

12 / 3 = 3x / 3

Simplify:

4 = x

So, the solution to the equation 2x = 5x - 12 is x = 4.

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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.