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4\left(x+4\right)+x-1=8x+6
Multiply both sides of the equation by 8, the least common multiple of 2,8,4.
4x+16+x-1=8x+6
Use the distributive property to multiply 4 by x+4.
5x+16-1=8x+6
Combine 4x and x to get 5x.
5x+15=8x+6
Subtract 1 from 16 to get 15.
5x+15-8x=6
Subtract 8x from both sides.
-3x+15=6
Combine 5x and -8x to get -3x.
-3x=6-15
Subtract 15 from both sides.
-3x=-9
Subtract 15 from 6 to get -9.
x=\frac{-9}{-3}
Divide both sides by -3.
x=3
Divide -9 by -3 to get 3.