4b+2b=6(2b+2)-(-3+7b)

Solution for 4b+2b=6(2b+2)-(-3+7b) equation:

Simplifying
4b + 2b = 6(2b + 2) + -1(-3 + 7b)

Combine like terms: 4b + 2b = 6b
6b = 6(2b + 2) + -1(-3 + 7b)

Reorder the terms:
6b = 6(2 + 2b) + -1(-3 + 7b)
6b = (2 * 6 + 2b * 6) + -1(-3 + 7b)
6b = (12 + 12b) + -1(-3 + 7b)
6b = 12 + 12b + (-3 * -1 + 7b * -1)
6b = 12 + 12b + (3 + -7b)

Reorder the terms:
6b = 12 + 3 + 12b + -7b

Combine like terms: 12 + 3 = 15
6b = 15 + 12b + -7b

Combine like terms: 12b + -7b = 5b
6b = 15 + 5b

Solving
6b = 15 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
6b + -5b = 15 + 5b + -5b

Combine like terms: 6b + -5b = 1b
1b = 15 + 5b + -5b

Combine like terms: 5b + -5b = 0
1b = 15 + 0
1b = 15

Divide each side by '1'.
b = 15

Simplifying
b = 15