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8-2\left(3x-2x+10-7\right)-\left(3x-13\right)=0
Use the distributive property to multiply -2 by x-5.
8-2\left(x+10-7\right)-\left(3x-13\right)=0
Combine 3x and -2x to get x.
8-2\left(x+3\right)-\left(3x-13\right)=0
Subtract 7 from 10 to get 3.
8-2x-6-\left(3x-13\right)=0
Use the distributive property to multiply -2 by x+3.
2-2x-\left(3x-13\right)=0
Subtract 6 from 8 to get 2.
2-2x-3x-\left(-13\right)=0
To find the opposite of 3x-13, find the opposite of each term.
2-2x-3x+13=0
The opposite of -13 is 13.
2-5x+13=0
Combine -2x and -3x to get -5x.
15-5x=0
Add 2 and 13 to get 15.
-5x=-15
Subtract 15 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-15}{-5}
Divide both sides by -5.
x=3
Divide -15 by -5 to get 3.