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8-x-3=6-4\left(x-1\right)
To find the opposite of x+3, find the opposite of each term.
5-x=6-4\left(x-1\right)
Subtract 3 from 8 to get 5.
5-x=6-4x+4
Use the distributive property to multiply -4 by x-1.
5-x=10-4x
Add 6 and 4 to get 10.
5-x+4x=10
Add 4x to both sides.
5+3x=10
Combine -x and 4x to get 3x.
3x=10-5
Subtract 5 from both sides.
3x=5
Subtract 5 from 10 to get 5.
x=\frac{5}{3}
Divide both sides by 3.