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7x-14-\left(2x-12\right)+2=25
Use the distributive property to multiply 7 by x-2.
7x-14-2x-\left(-12\right)+2=25
To find the opposite of 2x-12, find the opposite of each term.
7x-14-2x+12+2=25
The opposite of -12 is 12.
5x-14+12+2=25
Combine 7x and -2x to get 5x.
5x-2+2=25
Add -14 and 12 to get -2.
5x=25
Add -2 and 2 to get 0.
x=\frac{25}{5}
Divide both sides by 5.
x=5
Divide 25 by 5 to get 5.