2(b+1)-3(b-2)+4(b+3)=5(b-3)

Solution for 2(b+1)-3(b-2)+4(b+3)=5(b-3) equation:

Simplifying
2(b + 1) + -3(b + -2) + 4(b + 3) = 5(b + -3)

Reorder the terms:
2(1 + b) + -3(b + -2) + 4(b + 3) = 5(b + -3)
(1 * 2 + b * 2) + -3(b + -2) + 4(b + 3) = 5(b + -3)
(2 + 2b) + -3(b + -2) + 4(b + 3) = 5(b + -3)

Reorder the terms:
2 + 2b + -3(-2 + b) + 4(b + 3) = 5(b + -3)
2 + 2b + (-2 * -3 + b * -3) + 4(b + 3) = 5(b + -3)
2 + 2b + (6 + -3b) + 4(b + 3) = 5(b + -3)

Reorder the terms:
2 + 2b + 6 + -3b + 4(3 + b) = 5(b + -3)
2 + 2b + 6 + -3b + (3 * 4 + b * 4) = 5(b + -3)
2 + 2b + 6 + -3b + (12 + 4b) = 5(b + -3)

Reorder the terms:
2 + 6 + 12 + 2b + -3b + 4b = 5(b + -3)

Combine like terms: 2 + 6 = 8
8 + 12 + 2b + -3b + 4b = 5(b + -3)

Combine like terms: 8 + 12 = 20
20 + 2b + -3b + 4b = 5(b + -3)

Combine like terms: 2b + -3b = -1b
20 + -1b + 4b = 5(b + -3)

Combine like terms: -1b + 4b = 3b
20 + 3b = 5(b + -3)

Reorder the terms:
20 + 3b = 5(-3 + b)
20 + 3b = (-3 * 5 + b * 5)
20 + 3b = (-15 + 5b)

Solving
20 + 3b = -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.
20 + 3b + -5b = -15 + 5b + -5b

Combine like terms: 3b + -5b = -2b
20 + -2b = -15 + 5b + -5b

Combine like terms: 5b + -5b = 0
20 + -2b = -15 + 0
20 + -2b = -15

Add '-20' to each side of the equation.
20 + -20 + -2b = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -2b = -15 + -20
-2b = -15 + -20

Combine like terms: -15 + -20 = -35
-2b = -35

Divide each side by '-2'.
b = 17.5

Simplifying
b = 17.5