4(b+1)-3(7-b)=3(4+b)-1

Solution for 4(b+1)-3(7-b)=3(4+b)-1 equation:

Simplifying
4(b + 1) + -3(7 + -1b) = 3(4 + b) + -1

Reorder the terms:
4(1 + b) + -3(7 + -1b) = 3(4 + b) + -1
(1 * 4 + b * 4) + -3(7 + -1b) = 3(4 + b) + -1
(4 + 4b) + -3(7 + -1b) = 3(4 + b) + -1
4 + 4b + (7 * -3 + -1b * -3) = 3(4 + b) + -1
4 + 4b + (-21 + 3b) = 3(4 + b) + -1

Reorder the terms:
4 + -21 + 4b + 3b = 3(4 + b) + -1

Combine like terms: 4 + -21 = -17
-17 + 4b + 3b = 3(4 + b) + -1

Combine like terms: 4b + 3b = 7b
-17 + 7b = 3(4 + b) + -1
-17 + 7b = (4 * 3 + b * 3) + -1
-17 + 7b = (12 + 3b) + -1

Reorder the terms:
-17 + 7b = 12 + -1 + 3b

Combine like terms: 12 + -1 = 11
-17 + 7b = 11 + 3b

Solving
-17 + 7b = 11 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-17 + 7b + -3b = 11 + 3b + -3b

Combine like terms: 7b + -3b = 4b
-17 + 4b = 11 + 3b + -3b

Combine like terms: 3b + -3b = 0
-17 + 4b = 11 + 0
-17 + 4b = 11

Add '17' to each side of the equation.
-17 + 17 + 4b = 11 + 17

Combine like terms: -17 + 17 = 0
0 + 4b = 11 + 17
4b = 11 + 17

Combine like terms: 11 + 17 = 28
4b = 28

Divide each side by '4'.
b = 7

Simplifying
b = 7