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 = -7
8x + (-7 + 5x + -4x) = x + -1(x + -4)

Combine like terms: 5x + -4x = 1x
8x + (-7 + 1x) = x + -1(x + -4)

Remove parenthesis around (-7 + 1x)
8x + -7 + 1x = x + -1(x + -4)

Reorder the terms:
-7 + 8x + 1x = x + -1(x + -4)

Combine like terms: 8x + 1x = 9x
-7 + 9x = x + -1(x + -4)

Reorder the terms:
-7 + 9x = x + -1(-4 + x)
-7 + 9x = x + (-4 * -1 + x * -1)
-7 + 9x = x + (4 + -1x)

Reorder the terms:
-7 + 9x = 4 + x + -1x

Combine like terms: x + -1x = 0
-7 + 9x = 4 + 0
-7 + 9x = 4

Solving
-7 + 9x = 4

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 9x = 4 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 4 + 7
9x = 4 + 7

Combine like terms: 4 + 7 = 11
9x = 11

Divide each side by '9'.
x = 1.222222222

Simplifying
x = 1.222222222