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7x-7-\left(x-5\right)=10
Use the distributive property to multiply 7 by x-1.
7x-7-x-\left(-5\right)=10
To find the opposite of x-5, find the opposite of each term.
7x-7-x+5=10
The opposite of -5 is 5.
6x-7+5=10
Combine 7x and -x to get 6x.
6x-2=10
Add -7 and 5 to get -2.
6x=10+2
Add 2 to both sides.
6x=12
Add 10 and 2 to get 12.
x=\frac{12}{6}
Divide both sides by 6.
x=2
Divide 12 by 6 to get 2.