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

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

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

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

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

Combine like terms: 3b + 4b = 7b
-6 + 7b = -3(2b + 5)

Reorder the terms:
-6 + 7b = -3(5 + 2b)
-6 + 7b = (5 * -3 + 2b * -3)
-6 + 7b = (-15 + -6b)

Solving
-6 + 7b = -15 + -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.
-6 + 7b + 6b = -15 + -6b + 6b

Combine like terms: 7b + 6b = 13b
-6 + 13b = -15 + -6b + 6b

Combine like terms: -6b + 6b = 0
-6 + 13b = -15 + 0
-6 + 13b = -15

Add '6' to each side of the equation.
-6 + 6 + 13b = -15 + 6

Combine like terms: -6 + 6 = 0
0 + 13b = -15 + 6
13b = -15 + 6

Combine like terms: -15 + 6 = -9
13b = -9

Divide each side by '13'.
b = -0.6923076923

Simplifying
b = -0.6923076923