2(4b+11)=5(b-4)

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Solution for 2(4b+11)=5(b-4) equation:


Simplifying
2(4b + 11) = 5(b + -4)

Reorder the terms:
2(11 + 4b) = 5(b + -4)
(11 * 2 + 4b * 2) = 5(b + -4)
(22 + 8b) = 5(b + -4)

Reorder the terms:
22 + 8b = 5(-4 + b)
22 + 8b = (-4 * 5 + b * 5)
22 + 8b = (-20 + 5b)

Solving
22 + 8b = -20 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
22 + 8b + -5b = -20 + 5b + -5b

Combine like terms: 8b + -5b = 3b
22 + 3b = -20 + 5b + -5b

Combine like terms: 5b + -5b = 0
22 + 3b = -20 + 0
22 + 3b = -20

Add '-22' to each side of the equation.
22 + -22 + 3b = -20 + -22

Combine like terms: 22 + -22 = 0
0 + 3b = -20 + -22
3b = -20 + -22

Combine like terms: -20 + -22 = -42
3b = -42

Divide each side by '3'.
b = -14

Simplifying
b = -14

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