(5b-c+2)-(-4+b-2c)=

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

Simplifying
(5b + -1c + 2) + -1(-4 + b + -2c) = 0

Reorder the terms:
(2 + 5b + -1c) + -1(-4 + b + -2c) = 0

Remove parenthesis around (2 + 5b + -1c)
2 + 5b + -1c + -1(-4 + b + -2c) = 0
2 + 5b + -1c + (-4 * -1 + b * -1 + -2c * -1) = 0
2 + 5b + -1c + (4 + -1b + 2c) = 0

Reorder the terms:
2 + 4 + 5b + -1b + -1c + 2c = 0

Combine like terms: 2 + 4 = 6
6 + 5b + -1b + -1c + 2c = 0

Combine like terms: 5b + -1b = 4b
6 + 4b + -1c + 2c = 0

Combine like terms: -1c + 2c = 1c
6 + 4b + 1c = 0

Solving
6 + 4b + 1c = 0

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 + 4b + -6 + 1c = 0 + -6

Reorder the terms:
6 + -6 + 4b + 1c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4b + 1c = 0 + -6
4b + 1c = 0 + -6

Combine like terms: 0 + -6 = -6
4b + 1c = -6

Add '-1c' to each side of the equation.
4b + 1c + -1c = -6 + -1c

Combine like terms: 1c + -1c = 0
4b + 0 = -6 + -1c
4b = -6 + -1c

Divide each side by '4'.
b = -1.5 + -0.25c

Simplifying
b = -1.5 + -0.25c