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7x-x-\left(-2\right)=1+4+2x
To find the opposite of x-2, find the opposite of each term.
7x-x+2=1+4+2x
The opposite of -2 is 2.
6x+2=1+4+2x
Combine 7x and -x to get 6x.
6x+2=5+2x
Add 1 and 4 to get 5.
6x+2-2x=5
Subtract 2x from both sides.
4x+2=5
Combine 6x and -2x to get 4x.
4x=5-2
Subtract 2 from both sides.
4x=3
Subtract 2 from 5 to get 3.
x=\frac{3}{4}
Divide both sides by 4.