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

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

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

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

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

Reorder the terms:
6 + -10 + 3b + 2x = 2

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

Solving
-4 + 3b + 2x = 2

Solving for variable 'b'.

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

Add '4' to each side of the equation.
-4 + 3b + 4 + 2x = 2 + 4

Reorder the terms:
-4 + 4 + 3b + 2x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 3b + 2x = 2 + 4
3b + 2x = 2 + 4

Combine like terms: 2 + 4 = 6
3b + 2x = 6

Add '-2x' to each side of the equation.
3b + 2x + -2x = 6 + -2x

Combine like terms: 2x + -2x = 0
3b + 0 = 6 + -2x
3b = 6 + -2x

Divide each side by '3'.
b = 2 + -0.6666666667x

Simplifying
b = 2 + -0.6666666667x