2(b+5)=3(4-6)

Solution for 2(b+5)=3(4-6) equation:

Simplifying
2(b + 5) = 3(4 + -6)

Reorder the terms:
2(5 + b) = 3(4 + -6)
(5 * 2 + b * 2) = 3(4 + -6)
(10 + 2b) = 3(4 + -6)

Combine like terms: 4 + -6 = -2
10 + 2b = 3(-2)

Multiply 3 * -2
10 + 2b = -6

Solving
10 + 2b = -6

Solving for variable 'b'.

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

Add '-10' to each side of the equation.
10 + -10 + 2b = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 2b = -6 + -10
2b = -6 + -10

Combine like terms: -6 + -10 = -16
2b = -16

Divide each side by '2'.
b = -8

Simplifying
b = -8