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

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

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

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

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

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

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

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

Solving
2 + -1x = -3 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2 + -1x + 4x = -3 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
2 + 3x = -3 + 0
2 + 3x = -3

Add '-2' to each side of the equation.
2 + -2 + 3x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -3 + -2
3x = -3 + -2

Combine like terms: -3 + -2 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667