3b+6=7b+1

Solution for 3b+6=7b+1 equation:

Simplifying
3b + 6 = 7b + 1

Reorder the terms:
6 + 3b = 7b + 1

Reorder the terms:
6 + 3b = 1 + 7b

Solving
6 + 3b = 1 + 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.
6 + 3b + -7b = 1 + 7b + -7b

Combine like terms: 3b + -7b = -4b
6 + -4b = 1 + 7b + -7b

Combine like terms: 7b + -7b = 0
6 + -4b = 1 + 0
6 + -4b = 1

Add '-6' to each side of the equation.
6 + -6 + -4b = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -4b = 1 + -6
-4b = 1 + -6

Combine like terms: 1 + -6 = -5
-4b = -5

Divide each side by '-4'.
b = 1.25

Simplifying
b = 1.25