(12b-10)(3)=10b-10(2b-6)

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Solution for (12b-10)(3)=10b-10(2b-6) equation:


Simplifying
(12b + -10)(3) = 10b + -10(2b + -6)

Reorder the terms:
(-10 + 12b)(3) = 10b + -10(2b + -6)

Reorder the terms for easier multiplication:
3(-10 + 12b) = 10b + -10(2b + -6)
(-10 * 3 + 12b * 3) = 10b + -10(2b + -6)
(-30 + 36b) = 10b + -10(2b + -6)

Reorder the terms:
-30 + 36b = 10b + -10(-6 + 2b)
-30 + 36b = 10b + (-6 * -10 + 2b * -10)
-30 + 36b = 10b + (60 + -20b)

Reorder the terms:
-30 + 36b = 60 + 10b + -20b

Combine like terms: 10b + -20b = -10b
-30 + 36b = 60 + -10b

Solving
-30 + 36b = 60 + -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.
-30 + 36b + 10b = 60 + -10b + 10b

Combine like terms: 36b + 10b = 46b
-30 + 46b = 60 + -10b + 10b

Combine like terms: -10b + 10b = 0
-30 + 46b = 60 + 0
-30 + 46b = 60

Add '30' to each side of the equation.
-30 + 30 + 46b = 60 + 30

Combine like terms: -30 + 30 = 0
0 + 46b = 60 + 30
46b = 60 + 30

Combine like terms: 60 + 30 = 90
46b = 90

Divide each side by '46'.
b = 1.956521739

Simplifying
b = 1.956521739

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