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

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

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

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

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

Solving
2 + 5b = 3 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
2 + 5b + 3b = 3 + -3b + 3b

Combine like terms: 5b + 3b = 8b
2 + 8b = 3 + -3b + 3b

Combine like terms: -3b + 3b = 0
2 + 8b = 3 + 0
2 + 8b = 3

Add '-2' to each side of the equation.
2 + -2 + 8b = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 8b = 3 + -2
8b = 3 + -2

Combine like terms: 3 + -2 = 1
8b = 1

Divide each side by '8'.
b = 0.125

Simplifying
b = 0.125