7(b+2)-2(b+10)-4b=5

Solution for 7(b+2)-2(b+10)-4b=5 equation:

Simplifying
7(b + 2) + -2(b + 10) + -4b = 5

Reorder the terms:
7(2 + b) + -2(b + 10) + -4b = 5
(2 * 7 + b * 7) + -2(b + 10) + -4b = 5
(14 + 7b) + -2(b + 10) + -4b = 5

Reorder the terms:
14 + 7b + -2(10 + b) + -4b = 5
14 + 7b + (10 * -2 + b * -2) + -4b = 5
14 + 7b + (-20 + -2b) + -4b = 5

Reorder the terms:
14 + -20 + 7b + -2b + -4b = 5

Combine like terms: 14 + -20 = -6
-6 + 7b + -2b + -4b = 5

Combine like terms: 7b + -2b = 5b
-6 + 5b + -4b = 5

Combine like terms: 5b + -4b = 1b
-6 + 1b = 5

Solving
-6 + 1b = 5

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 1b = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 1b = 5 + 6
1b = 5 + 6

Combine like terms: 5 + 6 = 11
1b = 11

Divide each side by '1'.
b = 11

Simplifying
b = 11