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Goshia [24]
3 years ago
11

Solve for x. -(12x-6)=12x+6

Mathematics
1 answer:
AfilCa [17]3 years ago
6 0

-(12x - 6) = 12x + 6


First, distribute the negative sign on the left side.

It is the same as multiplying the quantity in parentheses by -1.


-1(12x - 6) = 12x + 6


-12x + 6 = 12x + 6


Now, subtract 12x from both sides.


-24x + 6 = 6


Subtract 6 from both sides.


-24x = 0


Divide both sides by -24.


x = 0/(-24)


x = 0


Answer: x = 0

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Multiply the outer -2 with the inner term 10 to get -2 times 10 = -20

So overall, -2(x+10) = -2x-20

--------------------------------------------

So that's how we're able to go from this -2(x+10) \ge 75 to this -2x-20 \ge 75

The only thing that changes is the left side. The inequality sign will not flip. It only flips if we multiply both sides by a negative number. 

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