6j+42=10j+10

Solution for 6j+42=10j+10 equation:

Simplifying
6j + 42 = 10j + 10

Reorder the terms:
42 + 6j = 10j + 10

Reorder the terms:
42 + 6j = 10 + 10j

Solving
42 + 6j = 10 + 10j

Solving for variable 'j'.

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

Add '-10j' to each side of the equation.
42 + 6j + -10j = 10 + 10j + -10j

Combine like terms: 6j + -10j = -4j
42 + -4j = 10 + 10j + -10j

Combine like terms: 10j + -10j = 0
42 + -4j = 10 + 0
42 + -4j = 10

Add '-42' to each side of the equation.
42 + -42 + -4j = 10 + -42

Combine like terms: 42 + -42 = 0
0 + -4j = 10 + -42
-4j = 10 + -42

Combine like terms: 10 + -42 = -32
-4j = -32

Divide each side by '-4'.
j = 8

Simplifying
j = 8