(4-x)=-3x+b

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Solution for (4-x)=-3x+b equation:


Simplifying
(4 + -1x) = -3x + b

Remove parenthesis around (4 + -1x)
4 + -1x = -3x + b

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

Solving
4 + -1x = b + -3x

Solving for variable 'x'.

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

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

Combine like terms: -1x + 3x = 2x
4 + 2x = b + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 2x = b + 0
4 + 2x = b

Add '-4' to each side of the equation.
4 + -4 + 2x = -4 + b

Combine like terms: 4 + -4 = 0
0 + 2x = -4 + b
2x = -4 + b

Divide each side by '2'.
x = -2 + 0.5b

Simplifying
x = -2 + 0.5b

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