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How do you solve the equation 3x -4(x-2)=12?

Answer 1

Nathan Axel

#x = -4#

Step 1) Expand the terms in parenthesis:

#3x - 4x + 8 = 12#

Step 2) Combine like terms on each side of the equation

#(3 - 4)x + 8 = 12#

#-1x + 8 = 12#

Step 2) Solve for #x# while keeping the equation balanced

#-1x + 8 - 8 = 12 - 8#

#-1x = 4#

#(-1x)/-1 = 4/-1#

#x = -4#

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Answer 2

Julia Adams

To solve the equation (3x - 4(x-2) = 12):

Distribute the -4: (3x - 4x + 8 = 12)
Combine like terms: (-x + 8 = 12)
Subtract 8 from both sides: (-x = 4)
Multiply both sides by -1 to isolate (x): (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.