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22=4x-10-\left(-4x\right)
To find the opposite of 10-4x, find the opposite of each term.
22=4x-10+4x
The opposite of -4x is 4x.
22=8x-10
Combine 4x and 4x to get 8x.
8x-10=22
Swap sides so that all variable terms are on the left hand side.
8x=22+10
Add 10 to both sides.
8x=32
Add 22 and 10 to get 32.
x=\frac{32}{8}
Divide both sides by 8.
x=4
Divide 32 by 8 to get 4.