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 = 57
57 + 6j + 10j = 37

Combine like terms: 6j + 10j = 16j
57 + 16j = 37

Solving
57 + 16j = 37

Solving for variable 'j'.

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

Add '-57' to each side of the equation.
57 + -57 + 16j = 37 + -57

Combine like terms: 57 + -57 = 0
0 + 16j = 37 + -57
16j = 37 + -57

Combine like terms: 37 + -57 = -20
16j = -20

Divide each side by '16'.
j = -1.25

Simplifying
j = -1.25