8b-6(b-1)=7(10-2b)

Solution for 8b-6(b-1)=7(10-2b) equation:

Simplifying
8b + -6(b + -1) = 7(10 + -2b)

Reorder the terms:
8b + -6(-1 + b) = 7(10 + -2b)
8b + (-1 * -6 + b * -6) = 7(10 + -2b)
8b + (6 + -6b) = 7(10 + -2b)

Reorder the terms:
6 + 8b + -6b = 7(10 + -2b)

Combine like terms: 8b + -6b = 2b
6 + 2b = 7(10 + -2b)
6 + 2b = (10 * 7 + -2b * 7)
6 + 2b = (70 + -14b)

Solving
6 + 2b = 70 + -14b

Solving for variable 'b'.

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

Add '14b' to each side of the equation.
6 + 2b + 14b = 70 + -14b + 14b

Combine like terms: 2b + 14b = 16b
6 + 16b = 70 + -14b + 14b

Combine like terms: -14b + 14b = 0
6 + 16b = 70 + 0
6 + 16b = 70

Add '-6' to each side of the equation.
6 + -6 + 16b = 70 + -6

Combine like terms: 6 + -6 = 0
0 + 16b = 70 + -6
16b = 70 + -6

Combine like terms: 70 + -6 = 64
16b = 64

Divide each side by '16'.
b = 4

Simplifying
b = 4