6(b+7)=4(2b)

Solution for 6(b+7)=4(2b) equation:

Simplifying
6(b + 7) = 4(2b)

Reorder the terms:
6(7 + b) = 4(2b)
(7 * 6 + b * 6) = 4(2b)
(42 + 6b) = 4(2b)

Remove parenthesis around (2b)
42 + 6b = 4 * 2b

Multiply 4 * 2
42 + 6b = 8b

Solving
42 + 6b = 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
42 + 6b + -8b = 8b + -8b

Combine like terms: 6b + -8b = -2b
42 + -2b = 8b + -8b

Combine like terms: 8b + -8b = 0
42 + -2b = 0

Add '-42' to each side of the equation.
42 + -42 + -2b = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -2b = 0 + -42
-2b = 0 + -42

Combine like terms: 0 + -42 = -42
-2b = -42

Divide each side by '-2'.
b = 21

Simplifying
b = 21