2(4b+3)=2(5b-10)

Solution for 2(4b+3)=2(5b-10) equation:

Simplifying
2(4b + 3) = 2(5b + -10)

Reorder the terms:
2(3 + 4b) = 2(5b + -10)
(3 * 2 + 4b * 2) = 2(5b + -10)
(6 + 8b) = 2(5b + -10)

Reorder the terms:
6 + 8b = 2(-10 + 5b)
6 + 8b = (-10 * 2 + 5b * 2)
6 + 8b = (-20 + 10b)

Solving
6 + 8b = -20 + 10b

Solving for variable 'b'.

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

Add '-10b' to each side of the equation.
6 + 8b + -10b = -20 + 10b + -10b

Combine like terms: 8b + -10b = -2b
6 + -2b = -20 + 10b + -10b

Combine like terms: 10b + -10b = 0
6 + -2b = -20 + 0
6 + -2b = -20

Add '-6' to each side of the equation.
6 + -6 + -2b = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -2b = -20 + -6
-2b = -20 + -6

Combine like terms: -20 + -6 = -26
-2b = -26

Divide each side by '-2'.
b = 13

Simplifying
b = 13