4(2b+5)=3(6b-20)

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Solution for 4(2b+5)=3(6b-20) equation: 


Simplifying
4(2b + 5) = 3(6b + -20)

Reorder the terms:
4(5 + 2b) = 3(6b + -20)
(5 * 4 + 2b * 4) = 3(6b + -20)
(20 + 8b) = 3(6b + -20)

Reorder the terms:
20 + 8b = 3(-20 + 6b)
20 + 8b = (-20 * 3 + 6b * 3)
20 + 8b = (-60 + 18b)

Solving
20 + 8b = -60 + 18b

Solving for variable 'b'.

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

Add '-18b' to each side of the equation.
20 + 8b + -18b = -60 + 18b + -18b

Combine like terms: 8b + -18b = -10b
20 + -10b = -60 + 18b + -18b

Combine like terms: 18b + -18b = 0
20 + -10b = -60 + 0
20 + -10b = -60

Add '-20' to each side of the equation.
20 + -20 + -10b = -60 + -20

Combine like terms: 20 + -20 = 0
0 + -10b = -60 + -20
-10b = -60 + -20

Combine like terms: -60 + -20 = -80
-10b = -80

Divide each side by '-10'.
b = 8

Simplifying
b = 8

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