3(j-2)=2j+1

Solution for 3(j-2)=2j+1 equation:

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

Reorder the terms:
3(-2 + j) = 2j + 1
(-2 * 3 + j * 3) = 2j + 1
(-6 + 3j) = 2j + 1

Reorder the terms:
-6 + 3j = 1 + 2j

Solving
-6 + 3j = 1 + 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 + 3j + -2j = 1 + 2j + -2j

Combine like terms: 3j + -2j = 1j
-6 + 1j = 1 + 2j + -2j

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

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

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

Combine like terms: 1 + 6 = 7
1j = 7

Divide each side by '1'.
j = 7

Simplifying
j = 7