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

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

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

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

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

Reorder the terms:
3 + -1x = 1(-4 + x)
3 + -1x = (-4 * 1 + x * 1)
3 + -1x = (-4 + 1x)

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

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

Combine like terms: 1x + -1x = 0
3 + -2x = -4 + 0
3 + -2x = -4

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

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

Combine like terms: -4 + -3 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5