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6x+4=-x-\left(-32\right)
To find the opposite of x-32, find the opposite of each term.
6x+4=-x+32
The opposite of -32 is 32.
6x+4+x=32
Add x to both sides.
7x+4=32
Combine 6x and x to get 7x.
7x=32-4
Subtract 4 from both sides.
7x=28
Subtract 4 from 32 to get 28.
x=\frac{28}{7}
Divide both sides by 7.
x=4
Divide 28 by 7 to get 4.