(8-b)(-3)+6b=12-10b

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Solution for (8-b)(-3)+6b=12-10b equation:


Simplifying
(8 + -1b)(-3) + 6b = 12 + -10b

Reorder the terms for easier multiplication:
-3(8 + -1b) + 6b = 12 + -10b
(8 * -3 + -1b * -3) + 6b = 12 + -10b
(-24 + 3b) + 6b = 12 + -10b

Combine like terms: 3b + 6b = 9b
-24 + 9b = 12 + -10b

Solving
-24 + 9b = 12 + -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.
-24 + 9b + 10b = 12 + -10b + 10b

Combine like terms: 9b + 10b = 19b
-24 + 19b = 12 + -10b + 10b

Combine like terms: -10b + 10b = 0
-24 + 19b = 12 + 0
-24 + 19b = 12

Add '24' to each side of the equation.
-24 + 24 + 19b = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 19b = 12 + 24
19b = 12 + 24

Combine like terms: 12 + 24 = 36
19b = 36

Divide each side by '19'.
b = 1.894736842

Simplifying
b = 1.894736842

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