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

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


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

Reorder the terms:
6(5 + b) = 3(b + -5)
(5 * 6 + b * 6) = 3(b + -5)
(30 + 6b) = 3(b + -5)

Reorder the terms:
30 + 6b = 3(-5 + b)
30 + 6b = (-5 * 3 + b * 3)
30 + 6b = (-15 + 3b)

Solving
30 + 6b = -15 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
30 + 6b + -3b = -15 + 3b + -3b

Combine like terms: 6b + -3b = 3b
30 + 3b = -15 + 3b + -3b

Combine like terms: 3b + -3b = 0
30 + 3b = -15 + 0
30 + 3b = -15

Add '-30' to each side of the equation.
30 + -30 + 3b = -15 + -30

Combine like terms: 30 + -30 = 0
0 + 3b = -15 + -30
3b = -15 + -30

Combine like terms: -15 + -30 = -45
3b = -45

Divide each side by '3'.
b = -15

Simplifying
b = -15

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