3(b+7)=2(7b+3)

Solution for 3(b+7)=2(7b+3) equation:

Simplifying
3(b + 7) = 2(7b + 3)

Reorder the terms:
3(7 + b) = 2(7b + 3)
(7 * 3 + b * 3) = 2(7b + 3)
(21 + 3b) = 2(7b + 3)

Reorder the terms:
21 + 3b = 2(3 + 7b)
21 + 3b = (3 * 2 + 7b * 2)
21 + 3b = (6 + 14b)

Solving
21 + 3b = 6 + 14b

Solving for variable 'b'.

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

Add '-14b' to each side of the equation.
21 + 3b + -14b = 6 + 14b + -14b

Combine like terms: 3b + -14b = -11b
21 + -11b = 6 + 14b + -14b

Combine like terms: 14b + -14b = 0
21 + -11b = 6 + 0
21 + -11b = 6

Add '-21' to each side of the equation.
21 + -21 + -11b = 6 + -21

Combine like terms: 21 + -21 = 0
0 + -11b = 6 + -21
-11b = 6 + -21

Combine like terms: 6 + -21 = -15
-11b = -15

Divide each side by '-11'.
b = 1.363636364

Simplifying
b = 1.363636364