10=3(1-2b)-(3-8b)

Solution for 10=3(1-2b)-(3-8b) equation:

Simplifying
10 = 3(1 + -2b) + -1(3 + -8b)
10 = (1 * 3 + -2b * 3) + -1(3 + -8b)
10 = (3 + -6b) + -1(3 + -8b)
10 = 3 + -6b + (3 * -1 + -8b * -1)
10 = 3 + -6b + (-3 + 8b)

Reorder the terms:
10 = 3 + -3 + -6b + 8b

Combine like terms: 3 + -3 = 0
10 = 0 + -6b + 8b
10 = -6b + 8b

Combine like terms: -6b + 8b = 2b
10 = 2b

Solving
10 = 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
10 + -2b = 2b + -2b

Combine like terms: 2b + -2b = 0
10 + -2b = 0

Add '-10' to each side of the equation.
10 + -10 + -2b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2b = 0 + -10
-2b = 0 + -10

Combine like terms: 0 + -10 = -10
-2b = -10

Divide each side by '-2'.
b = 5

Simplifying
b = 5