-3(b-5)-2b=-8b+7(b+1)

Solution for -3(b-5)-2b=-8b+7(b+1) equation:

Simplifying
-3(b + -5) + -2b = -8b + 7(b + 1)

Reorder the terms:
-3(-5 + b) + -2b = -8b + 7(b + 1)
(-5 * -3 + b * -3) + -2b = -8b + 7(b + 1)
(15 + -3b) + -2b = -8b + 7(b + 1)

Combine like terms: -3b + -2b = -5b
15 + -5b = -8b + 7(b + 1)

Reorder the terms:
15 + -5b = -8b + 7(1 + b)
15 + -5b = -8b + (1 * 7 + b * 7)
15 + -5b = -8b + (7 + 7b)

Reorder the terms:
15 + -5b = 7 + -8b + 7b

Combine like terms: -8b + 7b = -1b
15 + -5b = 7 + -1b

Solving
15 + -5b = 7 + -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
15 + -5b + b = 7 + -1b + b

Combine like terms: -5b + b = -4b
15 + -4b = 7 + -1b + b

Combine like terms: -1b + b = 0
15 + -4b = 7 + 0
15 + -4b = 7

Add '-15' to each side of the equation.
15 + -15 + -4b = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -4b = 7 + -15
-4b = 7 + -15

Combine like terms: 7 + -15 = -8
-4b = -8

Divide each side by '-4'.
b = 2

Simplifying
b = 2