6(j-7)+5(2j+3)=37

Solution for 6(j-7)+5(2j+3)=37 equation:

Simplifying
6(j + -7) + 5(2j + 3) = 37

Reorder the terms:
6(-7 + j) + 5(2j + 3) = 37
(-7 * 6 + j * 6) + 5(2j + 3) = 37
(-42 + 6j) + 5(2j + 3) = 37

Reorder the terms:
-42 + 6j + 5(3 + 2j) = 37
-42 + 6j + (3 * 5 + 2j * 5) = 37
-42 + 6j + (15 + 10j) = 37

Reorder the terms:
-42 + 15 + 6j + 10j = 37

Combine like terms: -42 + 15 = -27
-27 + 6j + 10j = 37

Combine like terms: 6j + 10j = 16j
-27 + 16j = 37

Solving
-27 + 16j = 37

Solving for variable 'j'.

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

Add '27' to each side of the equation.
-27 + 27 + 16j = 37 + 27

Combine like terms: -27 + 27 = 0
0 + 16j = 37 + 27
16j = 37 + 27

Combine like terms: 37 + 27 = 64
16j = 64

Divide each side by '16'.
j = 4

Simplifying
j = 4