2b+6=7b-2

Solution for 2b+6=7b-2 equation:

Simplifying
2b + 6 = 7b + -2

Reorder the terms:
6 + 2b = 7b + -2

Reorder the terms:
6 + 2b = -2 + 7b

Solving
6 + 2b = -2 + 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 + 2b + -7b = -2 + 7b + -7b

Combine like terms: 2b + -7b = -5b
6 + -5b = -2 + 7b + -7b

Combine like terms: 7b + -7b = 0
6 + -5b = -2 + 0
6 + -5b = -2

Add '-6' to each side of the equation.
6 + -6 + -5b = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -5b = -2 + -6
-5b = -2 + -6

Combine like terms: -2 + -6 = -8
-5b = -8

Divide each side by '-5'.
b = 1.6

Simplifying
b = 1.6