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

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

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

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

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

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

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

Combine like terms: -2j + 2j = 0
-6 + 4j = 6 + 0
-6 + 4j = 6

Add '6' to each side of the equation.
-6 + 6 + 4j = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 4j = 6 + 6
4j = 6 + 6

Combine like terms: 6 + 6 = 12
4j = 12

Divide each side by '4'.
j = 3

Simplifying
j = 3