(x-2)-2(x-1)=X+1-(x-6)

Solution for (x-2)-2(x-1)=X+1-(x-6) equation:

Simplifying
(x + -2) + -2(x + -1) = X + 1 + -1(x + -6)

Reorder the terms:
(-2 + x) + -2(x + -1) = X + 1 + -1(x + -6)

Remove parenthesis around (-2 + x)
-2 + x + -2(x + -1) = X + 1 + -1(x + -6)

Reorder the terms:
-2 + x + -2(-1 + x) = X + 1 + -1(x + -6)
-2 + x + (-1 * -2 + x * -2) = X + 1 + -1(x + -6)
-2 + x + (2 + -2x) = X + 1 + -1(x + -6)

Reorder the terms:
-2 + 2 + x + -2x = X + 1 + -1(x + -6)

Combine like terms: -2 + 2 = 0
0 + x + -2x = X + 1 + -1(x + -6)
x + -2x = X + 1 + -1(x + -6)

Combine like terms: x + -2x = -1x
-1x = X + 1 + -1(x + -6)

Reorder the terms:
-1x = X + 1 + -1(-6 + x)
-1x = X + 1 + (-6 * -1 + x * -1)
-1x = X + 1 + (6 + -1x)

Reorder the terms:
-1x = 1 + 6 + X + -1x

Combine like terms: 1 + 6 = 7
-1x = 7 + X + -1x

Add 'x' to each side of the equation.
-1x + x = 7 + X + -1x + x

Combine like terms: -1x + x = 0
0 = 7 + X + -1x + x

Combine like terms: -1x + x = 0
0 = 7 + X + 0
0 = 7 + X

Solving
0 = 7 + X

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.
0 + -1X = 7 + X + -1X
Remove the zero:
-1X = 7 + X + -1X

Combine like terms: X + -1X = 0
-1X = 7 + 0
-1X = 7

Divide each side by '-1'.
X = -7

Simplifying
X = -7