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

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


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

Reorder the terms:
3x + -3(-1 + 2x) = 4x + 2 + x + -4
3x + (-1 * -3 + 2x * -3) = 4x + 2 + x + -4
3x + (3 + -6x) = 4x + 2 + x + -4

Reorder the terms:
3 + 3x + -6x = 4x + 2 + x + -4

Combine like terms: 3x + -6x = -3x
3 + -3x = 4x + 2 + x + -4

Reorder the terms:
3 + -3x = 2 + -4 + 4x + x

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

Combine like terms: 4x + x = 5x
3 + -3x = -2 + 5x

Solving
3 + -3x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + -3x + -5x = -2 + 5x + -5x

Combine like terms: -3x + -5x = -8x
3 + -8x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -8x = -2 + 0
3 + -8x = -2

Add '-3' to each side of the equation.
3 + -3 + -8x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = -2 + -3
-8x = -2 + -3

Combine like terms: -2 + -3 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625

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