4(x-b)=6(2b-x)

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Solution for 4(x-b)=6(2b-x) equation:


Simplifying
4(x + -1b) = 6(2b + -1x)

Reorder the terms:
4(-1b + x) = 6(2b + -1x)
(-1b * 4 + x * 4) = 6(2b + -1x)
(-4b + 4x) = 6(2b + -1x)
-4b + 4x = (2b * 6 + -1x * 6)
-4b + 4x = (12b + -6x)

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

Solving for variable 'b'.

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

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

Combine like terms: -4b + -12b = -16b
-16b + 4x = 12b + -12b + -6x

Combine like terms: 12b + -12b = 0
-16b + 4x = 0 + -6x
-16b + 4x = -6x

Add '-4x' to each side of the equation.
-16b + 4x + -4x = -6x + -4x

Combine like terms: 4x + -4x = 0
-16b + 0 = -6x + -4x
-16b = -6x + -4x

Combine like terms: -6x + -4x = -10x
-16b = -10x

Divide each side by '-16'.
b = 0.625x

Simplifying
b = 0.625x

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