3(b-7)=7(3b)

Solution for 3(b-7)=7(3b) equation:

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

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

Remove parenthesis around (3b)
-21 + 3b = 7 * 3b

Multiply 7 * 3
-21 + 3b = 21b

Solving
-21 + 3b = 21b

Solving for variable 'b'.

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

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

Combine like terms: 3b + -21b = -18b
-21 + -18b = 21b + -21b

Combine like terms: 21b + -21b = 0
-21 + -18b = 0

Add '21' to each side of the equation.
-21 + 21 + -18b = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -18b = 0 + 21
-18b = 0 + 21

Combine like terms: 0 + 21 = 21
-18b = 21

Divide each side by '-18'.
b = -1.166666667

Simplifying
b = -1.166666667