(x-4)(x)+(2x-1)=x^2-(4-x)

Solution for (x-4)(x)+(2x-1)=x^2-(4-x) equation:

Simplifying
(x + -4)(x) + (2x + -1) = x2 + -1(4 + -1x)

Reorder the terms:
(-4 + x)(x) + (2x + -1) = x2 + -1(4 + -1x)

Reorder the terms for easier multiplication:
x(-4 + x) + (2x + -1) = x2 + -1(4 + -1x)
(-4 * x + x * x) + (2x + -1) = x2 + -1(4 + -1x)
(-4x + x2) + (2x + -1) = x2 + -1(4 + -1x)

Reorder the terms:
-4x + x2 + (-1 + 2x) = x2 + -1(4 + -1x)

Remove parenthesis around (-1 + 2x)
-4x + x2 + -1 + 2x = x2 + -1(4 + -1x)

Reorder the terms:
-1 + -4x + 2x + x2 = x2 + -1(4 + -1x)

Combine like terms: -4x + 2x = -2x
-1 + -2x + x2 = x2 + -1(4 + -1x)
-1 + -2x + x2 = x2 + (4 * -1 + -1x * -1)
-1 + -2x + x2 = x2 + (-4 + 1x)

Reorder the terms:
-1 + -2x + x2 = -4 + 1x + x2

Add '-1x2' to each side of the equation.
-1 + -2x + x2 + -1x2 = -4 + 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + -2x + 0 = -4 + 1x + x2 + -1x2
-1 + -2x = -4 + 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + -2x = -4 + 1x + 0
-1 + -2x = -4 + 1x

Solving
-1 + -2x = -4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + -2x + -1x = -4 + 1x + -1x

Combine like terms: -2x + -1x = -3x
-1 + -3x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 + -3x = -4 + 0
-1 + -3x = -4

Add '1' to each side of the equation.
-1 + 1 + -3x = -4 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -4 + 1
-3x = -4 + 1

Combine like terms: -4 + 1 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1