6(b-7)=2(6b+7)

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

Simplifying
6(b + -7) = 2(6b + 7)

Reorder the terms:
6(-7 + b) = 2(6b + 7)
(-7 * 6 + b * 6) = 2(6b + 7)
(-42 + 6b) = 2(6b + 7)

Reorder the terms:
-42 + 6b = 2(7 + 6b)
-42 + 6b = (7 * 2 + 6b * 2)
-42 + 6b = (14 + 12b)

Solving
-42 + 6b = 14 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
-42 + 6b + -12b = 14 + 12b + -12b

Combine like terms: 6b + -12b = -6b
-42 + -6b = 14 + 12b + -12b

Combine like terms: 12b + -12b = 0
-42 + -6b = 14 + 0
-42 + -6b = 14

Add '42' to each side of the equation.
-42 + 42 + -6b = 14 + 42

Combine like terms: -42 + 42 = 0
0 + -6b = 14 + 42
-6b = 14 + 42

Combine like terms: 14 + 42 = 56
-6b = 56

Divide each side by '-6'.
b = -9.333333333

Simplifying
b = -9.333333333