12-3(x-2b)=5b-4x

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Solution for 12-3(x-2b)=5b-4x equation:


Simplifying
12 + -3(x + -2b) = 5b + -4x

Reorder the terms:
12 + -3(-2b + x) = 5b + -4x
12 + (-2b * -3 + x * -3) = 5b + -4x
12 + (6b + -3x) = 5b + -4x

Solving
12 + 6b + -3x = 5b + -4x

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
12 + 6b + -5b + -3x = 5b + -5b + -4x

Combine like terms: 6b + -5b = 1b
12 + 1b + -3x = 5b + -5b + -4x

Combine like terms: 5b + -5b = 0
12 + 1b + -3x = 0 + -4x
12 + 1b + -3x = -4x

Add '-12' to each side of the equation.
12 + 1b + -12 + -3x = -12 + -4x

Reorder the terms:
12 + -12 + 1b + -3x = -12 + -4x

Combine like terms: 12 + -12 = 0
0 + 1b + -3x = -12 + -4x
1b + -3x = -12 + -4x

Add '3x' to each side of the equation.
1b + -3x + 3x = -12 + -4x + 3x

Combine like terms: -3x + 3x = 0
1b + 0 = -12 + -4x + 3x
1b = -12 + -4x + 3x

Combine like terms: -4x + 3x = -1x
1b = -12 + -1x

Divide each side by '1'.
b = -12 + -1x

Simplifying
b = -12 + -1x

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