6b-1=13b-78

Solution for 6b-1=13b-78 equation:

Simplifying
6b + -1 = 13b + -78

Reorder the terms:
-1 + 6b = 13b + -78

Reorder the terms:
-1 + 6b = -78 + 13b

Solving
-1 + 6b = -78 + 13b

Solving for variable 'b'.

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

Add '-13b' to each side of the equation.
-1 + 6b + -13b = -78 + 13b + -13b

Combine like terms: 6b + -13b = -7b
-1 + -7b = -78 + 13b + -13b

Combine like terms: 13b + -13b = 0
-1 + -7b = -78 + 0
-1 + -7b = -78

Add '1' to each side of the equation.
-1 + 1 + -7b = -78 + 1

Combine like terms: -1 + 1 = 0
0 + -7b = -78 + 1
-7b = -78 + 1

Combine like terms: -78 + 1 = -77
-7b = -77

Divide each side by '-7'.
b = 11

Simplifying
b = 11