2.6(j-1)+.7=1.2(3-j)+.2

Solution for 2.6(j-1)+.7=1.2(3-j)+.2 equation:

Simplifying
2.6(j + -1) + 0.7 = 1.2(3 + -1j) + 0.2

Reorder the terms:
2.6(-1 + j) + 0.7 = 1.2(3 + -1j) + 0.2
(-1 * 2.6 + j * 2.6) + 0.7 = 1.2(3 + -1j) + 0.2
(-2.6 + 2.6j) + 0.7 = 1.2(3 + -1j) + 0.2

Reorder the terms:
-2.6 + 0.7 + 2.6j = 1.2(3 + -1j) + 0.2

Combine like terms: -2.6 + 0.7 = -1.9
-1.9 + 2.6j = 1.2(3 + -1j) + 0.2
-1.9 + 2.6j = (3 * 1.2 + -1j * 1.2) + 0.2
-1.9 + 2.6j = (3.6 + -1.2j) + 0.2

Reorder the terms:
-1.9 + 2.6j = 3.6 + 0.2 + -1.2j

Combine like terms: 3.6 + 0.2 = 3.8
-1.9 + 2.6j = 3.8 + -1.2j

Solving
-1.9 + 2.6j = 3.8 + -1.2j

Solving for variable 'j'.

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

Add '1.2j' to each side of the equation.
-1.9 + 2.6j + 1.2j = 3.8 + -1.2j + 1.2j

Combine like terms: 2.6j + 1.2j = 3.8j
-1.9 + 3.8j = 3.8 + -1.2j + 1.2j

Combine like terms: -1.2j + 1.2j = 0.0
-1.9 + 3.8j = 3.8 + 0.0
-1.9 + 3.8j = 3.8

Add '1.9' to each side of the equation.
-1.9 + 1.9 + 3.8j = 3.8 + 1.9

Combine like terms: -1.9 + 1.9 = 0.0
0.0 + 3.8j = 3.8 + 1.9
3.8j = 3.8 + 1.9

Combine like terms: 3.8 + 1.9 = 5.7
3.8j = 5.7

Divide each side by '3.8'.
j = 1.5

Simplifying
j = 1.5