2-(j-4)=-2(j-1)

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

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

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

Combine like terms: 2 + 4 = 6
6 + -1j = -2(j + -1)

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

Solving
6 + -1j = 2 + -2j

Solving for variable 'j'.

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

Add '2j' to each side of the equation.
6 + -1j + 2j = 2 + -2j + 2j

Combine like terms: -1j + 2j = 1j
6 + 1j = 2 + -2j + 2j

Combine like terms: -2j + 2j = 0
6 + 1j = 2 + 0
6 + 1j = 2

Add '-6' to each side of the equation.
6 + -6 + 1j = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1j = 2 + -6
1j = 2 + -6

Combine like terms: 2 + -6 = -4
1j = -4

Divide each side by '1'.
j = -4

Simplifying
j = -4