6b+42=7b-36

Solution for 6b+42=7b-36 equation:

Simplifying
6b + 42 = 7b + -36

Reorder the terms:
42 + 6b = 7b + -36

Reorder the terms:
42 + 6b = -36 + 7b

Solving
42 + 6b = -36 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
42 + 6b + -7b = -36 + 7b + -7b

Combine like terms: 6b + -7b = -1b
42 + -1b = -36 + 7b + -7b

Combine like terms: 7b + -7b = 0
42 + -1b = -36 + 0
42 + -1b = -36

Add '-42' to each side of the equation.
42 + -42 + -1b = -36 + -42

Combine like terms: 42 + -42 = 0
0 + -1b = -36 + -42
-1b = -36 + -42

Combine like terms: -36 + -42 = -78
-1b = -78

Divide each side by '-1'.
b = 78

Simplifying
b = 78