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

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

Simplifying
2b + -7(3 + b) = b + c
2b + (3 * -7 + b * -7) = b + c
2b + (-21 + -7b) = b + c

Reorder the terms:
-21 + 2b + -7b = b + c

Combine like terms: 2b + -7b = -5b
-21 + -5b = b + c

Solving
-21 + -5b = b + c

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
-21 + -5b + -1b = b + -1b + c

Combine like terms: -5b + -1b = -6b
-21 + -6b = b + -1b + c

Combine like terms: b + -1b = 0
-21 + -6b = 0 + c
-21 + -6b = c

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

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

Divide each side by '-6'.
b = -3.5 + -0.1666666667c

Simplifying
b = -3.5 + -0.1666666667c