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1-3x+14x+22=2\left(8x+5\right)+3
Use the distributive property to multiply 2 by 7x+11.
1+11x+22=2\left(8x+5\right)+3
Combine -3x and 14x to get 11x.
23+11x=2\left(8x+5\right)+3
Add 1 and 22 to get 23.
23+11x=16x+10+3
Use the distributive property to multiply 2 by 8x+5.
23+11x=16x+13
Add 10 and 3 to get 13.
23+11x-16x=13
Subtract 16x from both sides.
23-5x=13
Combine 11x and -16x to get -5x.
-5x=13-23
Subtract 23 from both sides.
-5x=-10
Subtract 23 from 13 to get -10.
x=\frac{-10}{-5}
Divide both sides by -5.
x=2
Divide -10 by -5 to get 2.