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Solve for x (complex solution)
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8-12x=-\left(6x-\left(8-6x\right)\right)
Use the distributive property to multiply 4 by 2-3x.
8-12x=-\left(6x-8-\left(-6x\right)\right)
To find the opposite of 8-6x, find the opposite of each term.
8-12x=-\left(6x-8+6x\right)
The opposite of -6x is 6x.
8-12x=-\left(12x-8\right)
Combine 6x and 6x to get 12x.
8-12x=-12x-\left(-8\right)
To find the opposite of 12x-8, find the opposite of each term.
8-12x=-12x+8
The opposite of -8 is 8.
8-12x+12x=8
Add 12x to both sides.
8=8
Combine -12x and 12x to get 0.
\text{true}
Compare 8 and 8.
x\in \mathrm{C}
This is true for any x.
8-12x=-\left(6x-\left(8-6x\right)\right)
Use the distributive property to multiply 4 by 2-3x.
8-12x=-\left(6x-8-\left(-6x\right)\right)
To find the opposite of 8-6x, find the opposite of each term.
8-12x=-\left(6x-8+6x\right)
The opposite of -6x is 6x.
8-12x=-\left(12x-8\right)
Combine 6x and 6x to get 12x.
8-12x=-12x-\left(-8\right)
To find the opposite of 12x-8, find the opposite of each term.
8-12x=-12x+8
The opposite of -8 is 8.
8-12x+12x=8
Add 12x to both sides.
8=8
Combine -12x and 12x to get 0.
\text{true}
Compare 8 and 8.
x\in \mathrm{R}
This is true for any x.