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x-8-4x=2\left(3x-4\right)
To find the opposite of 8+4x, find the opposite of each term.
-3x-8=2\left(3x-4\right)
Combine x and -4x to get -3x.
-3x-8=6x-8
Use the distributive property to multiply 2 by 3x-4.
-3x-8-6x=-8
Subtract 6x from both sides.
-9x-8=-8
Combine -3x and -6x to get -9x.
-9x=-8+8
Add 8 to both sides.
-9x=0
Add -8 and 8 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -9 is not equal to 0, x must be equal to 0.