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How do you solve for x: #4x+12(-x-3) = 2x-4(-x)-3^2#?

Answer 1

#x = -27/14#

Notice that a large part of solving this equation involves the correct order of operations as well. Maths is seldom little compartments, but one huge subject full of different concepts and methods, but they all intertwine.

#4x+12(-x-3) = 2x-4(-x)-3^2#

#cancel(4x)-12x-36 = 2x+cancel(4x)-9#

#-36+9 = 2x+12x#

#-27 = 14x#

#-27/14 = x#

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Answer 2

Jameson Allen

To solve for x in the equation 4x + 12(-x - 3) = 2x - 4(-x) - 3^2, follow these steps:

Expand both sides of the equation.
Combine like terms.
Move all terms involving x to one side of the equation and constants to the other side.
Solve for x.

Expanding both sides: 4x + 12(-x - 3) = 2x - 4(-x) - 9 4x - 12x - 36 = 2x + 4x - 9

Combining like terms: -8x - 36 = 6x - 9

Moving terms involving x to one side and constants to the other: -8x - 6x = 36 - 9 -14x = 27

Solving for x: x = 27 / -14

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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.