-5(3x-6b)+12=8+3ax

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Solution for -5(3x-6b)+12=8+3ax equation:


Simplifying
-5(3x + -6b) + 12 = 8 + 3ax

Reorder the terms:
-5(-6b + 3x) + 12 = 8 + 3ax
(-6b * -5 + 3x * -5) + 12 = 8 + 3ax
(30b + -15x) + 12 = 8 + 3ax

Reorder the terms:
12 + 30b + -15x = 8 + 3ax

Solving
12 + 30b + -15x = 8 + 3ax

Solving for variable 'b'.

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

Add '-12' to each side of the equation.
12 + 30b + -12 + -15x = 8 + -12 + 3ax

Reorder the terms:
12 + -12 + 30b + -15x = 8 + -12 + 3ax

Combine like terms: 12 + -12 = 0
0 + 30b + -15x = 8 + -12 + 3ax
30b + -15x = 8 + -12 + 3ax

Combine like terms: 8 + -12 = -4
30b + -15x = -4 + 3ax

Add '15x' to each side of the equation.
30b + -15x + 15x = -4 + 3ax + 15x

Combine like terms: -15x + 15x = 0
30b + 0 = -4 + 3ax + 15x
30b = -4 + 3ax + 15x

Divide each side by '30'.
b = -0.1333333333 + 0.1ax + 0.5x

Simplifying
b = -0.1333333333 + 0.1ax + 0.5x

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