8x+(5x-6-4x+1)=x-1(x-4)

Solution for 8x+(5x-6-4x+1)=x-1(x-4) equation:

Simplifying
8x + (5x + -6 + -4x + 1) = x + -1(x + -4)

Reorder the terms:
8x + (-6 + 1 + 5x + -4x) = x + -1(x + -4)

Combine like terms: -6 + 1 = -5
8x + (-5 + 5x + -4x) = x + -1(x + -4)

Combine like terms: 5x + -4x = 1x
8x + (-5 + 1x) = x + -1(x + -4)

Remove parenthesis around (-5 + 1x)
8x + -5 + 1x = x + -1(x + -4)

Reorder the terms:
-5 + 8x + 1x = x + -1(x + -4)

Combine like terms: 8x + 1x = 9x
-5 + 9x = x + -1(x + -4)

Reorder the terms:
-5 + 9x = x + -1(-4 + x)
-5 + 9x = x + (-4 * -1 + x * -1)
-5 + 9x = x + (4 + -1x)

Reorder the terms:
-5 + 9x = 4 + x + -1x

Combine like terms: x + -1x = 0
-5 + 9x = 4 + 0
-5 + 9x = 4

Solving
-5 + 9x = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 9x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 4 + 5
9x = 4 + 5

Combine like terms: 4 + 5 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1