.33(-x+1)+4=4(3x-2)

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Solution for .33(-x+1)+4=4(3x-2) equation: 


Simplifying
0.33(-1x + 1) + 4 = 4(3x + -2)

Reorder the terms:
0.33(1 + -1x) + 4 = 4(3x + -2)
(1 * 0.33 + -1x * 0.33) + 4 = 4(3x + -2)
(0.33 + -0.33x) + 4 = 4(3x + -2)

Reorder the terms:
0.33 + 4 + -0.33x = 4(3x + -2)

Combine like terms: 0.33 + 4 = 4.33
4.33 + -0.33x = 4(3x + -2)

Reorder the terms:
4.33 + -0.33x = 4(-2 + 3x)
4.33 + -0.33x = (-2 * 4 + 3x * 4)
4.33 + -0.33x = (-8 + 12x)

Solving
4.33 + -0.33x = -8 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
4.33 + -0.33x + -12x = -8 + 12x + -12x

Combine like terms: -0.33x + -12x = -12.33x
4.33 + -12.33x = -8 + 12x + -12x

Combine like terms: 12x + -12x = 0
4.33 + -12.33x = -8 + 0
4.33 + -12.33x = -8

Add '-4.33' to each side of the equation.
4.33 + -4.33 + -12.33x = -8 + -4.33

Combine like terms: 4.33 + -4.33 = 0.00
0.00 + -12.33x = -8 + -4.33
-12.33x = -8 + -4.33

Combine like terms: -8 + -4.33 = -12.33
-12.33x = -12.33

Divide each side by '-12.33'.
x = 1

Simplifying
x = 1

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