5j-6+5.5j=3(5j-2)

Solution for 5j-6+5.5j=3(5j-2) equation:

Simplifying
5j + -6 + 5.5j = 3(5j + -2)

Reorder the terms:
-6 + 5j + 5.5j = 3(5j + -2)

Combine like terms: 5j + 5.5j = 10.5j
-6 + 10.5j = 3(5j + -2)

Reorder the terms:
-6 + 10.5j = 3(-2 + 5j)
-6 + 10.5j = (-2 * 3 + 5j * 3)
-6 + 10.5j = (-6 + 15j)

Add '6' to each side of the equation.
-6 + 6 + 10.5j = -6 + 6 + 15j

Combine like terms: -6 + 6 = 0
0 + 10.5j = -6 + 6 + 15j
10.5j = -6 + 6 + 15j

Combine like terms: -6 + 6 = 0
10.5j = 0 + 15j
10.5j = 15j

Solving
10.5j = 15j

Solving for variable 'j'.

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

Add '-15j' to each side of the equation.
10.5j + -15j = 15j + -15j

Combine like terms: 10.5j + -15j = -4.5j
-4.5j = 15j + -15j

Combine like terms: 15j + -15j = 0
-4.5j = 0

Divide each side by '-4.5'.
j = 0

Simplifying
j = 0