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9x+18-2\left(x-2\right)=2\left(x-4\right)+4\left(x-2\right)
Use the distributive property to multiply 9 by x+2.
9x+18-2x+4=2\left(x-4\right)+4\left(x-2\right)
Use the distributive property to multiply -2 by x-2.
7x+18+4=2\left(x-4\right)+4\left(x-2\right)
Combine 9x and -2x to get 7x.
7x+22=2\left(x-4\right)+4\left(x-2\right)
Add 18 and 4 to get 22.
7x+22=2x-8+4\left(x-2\right)
Use the distributive property to multiply 2 by x-4.
7x+22=2x-8+4x-8
Use the distributive property to multiply 4 by x-2.
7x+22=6x-8-8
Combine 2x and 4x to get 6x.
7x+22=6x-16
Subtract 8 from -8 to get -16.
7x+22-6x=-16
Subtract 6x from both sides.
x+22=-16
Combine 7x and -6x to get x.
x=-16-22
Subtract 22 from both sides.
x=-38
Subtract 22 from -16 to get -38.