6b^2-13b+6=6b^2+7b+2

Solution for 6b^2-13b+6=6b^2+7b+2 equation:

Simplifying
6b2 + -13b + 6 = 6b2 + 7b + 2

Reorder the terms:
6 + -13b + 6b2 = 6b2 + 7b + 2

Reorder the terms:
6 + -13b + 6b2 = 2 + 7b + 6b2

Add '-6b2' to each side of the equation.
6 + -13b + 6b2 + -6b2 = 2 + 7b + 6b2 + -6b2

Combine like terms: 6b2 + -6b2 = 0
6 + -13b + 0 = 2 + 7b + 6b2 + -6b2
6 + -13b = 2 + 7b + 6b2 + -6b2

Combine like terms: 6b2 + -6b2 = 0
6 + -13b = 2 + 7b + 0
6 + -13b = 2 + 7b

Solving
6 + -13b = 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 + -13b + -7b = 2 + 7b + -7b

Combine like terms: -13b + -7b = -20b
6 + -20b = 2 + 7b + -7b

Combine like terms: 7b + -7b = 0
6 + -20b = 2 + 0
6 + -20b = 2

Add '-6' to each side of the equation.
6 + -6 + -20b = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -20b = 2 + -6
-20b = 2 + -6

Combine like terms: 2 + -6 = -4
-20b = -4

Divide each side by '-20'.
b = 0.2

Simplifying
b = 0.2