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How do you solve #-4(3x-2)=-32# using the distributive property?

Answer 1

#x = 3 1/3#

We will use the distributive property (shown below) to simplify #-4(3x-2)#:

Following this image, we know that:
#color(blue)(-4(3x-2) = (-4 * 3x) + (-4 * -2) = -12x + 8)#

Put that back into the equation:
#-12x + 8 = -32#

Now subtract #color(blue)8# from both sides of the equation:
#-12x + 8 quadcolor(blue)(-quad8) = -32 quadcolor(blue)(-quad8)#

#-12x = -40#

Next, divide both sides by #color(blue)(-12)#:
#(-12x)/color(blue)(-12) = (-40)/color(blue)(-12)#

#x = 3 1/3#

Hope this helps!

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Answer 2

Kennedy Adams

To solve -4(3x-2)=-32 using the distributive property:

Distribute -4 across the terms inside the parentheses: -4 * 3x = -12x and -4 * -2 = 8.
Rewrite the equation: -12x + 8 = -32.
Subtract 8 from both sides: -12x = -40.
Divide both sides by -12: x = 40/12 or x = -10/3.

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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.