7b-1=3(2b-1)+8

Solution for 7b-1=3(2b-1)+8 equation:

Simplifying
7b + -1 = 3(2b + -1) + 8

Reorder the terms:
-1 + 7b = 3(2b + -1) + 8

Reorder the terms:
-1 + 7b = 3(-1 + 2b) + 8
-1 + 7b = (-1 * 3 + 2b * 3) + 8
-1 + 7b = (-3 + 6b) + 8

Reorder the terms:
-1 + 7b = -3 + 8 + 6b

Combine like terms: -3 + 8 = 5
-1 + 7b = 5 + 6b

Solving
-1 + 7b = 5 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-1 + 7b + -6b = 5 + 6b + -6b

Combine like terms: 7b + -6b = 1b
-1 + 1b = 5 + 6b + -6b

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

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

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

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

Divide each side by '1'.
b = 6

Simplifying
b = 6