4x+b=6(x-b)

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Solution for 4x+b=6(x-b) equation:


Simplifying
4x + b = 6(x + -1b)

Reorder the terms:
b + 4x = 6(x + -1b)

Reorder the terms:
b + 4x = 6(-1b + x)
b + 4x = (-1b * 6 + x * 6)
b + 4x = (-6b + 6x)

Solving
b + 4x = -6b + 6x

Solving for variable 'b'.

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

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

Combine like terms: b + 6b = 7b
7b + 4x = -6b + 6b + 6x

Combine like terms: -6b + 6b = 0
7b + 4x = 0 + 6x
7b + 4x = 6x

Add '-4x' to each side of the equation.
7b + 4x + -4x = 6x + -4x

Combine like terms: 4x + -4x = 0
7b + 0 = 6x + -4x
7b = 6x + -4x

Combine like terms: 6x + -4x = 2x
7b = 2x

Divide each side by '7'.
b = 0.2857142857x

Simplifying
b = 0.2857142857x

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