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

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


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

Combine like terms: 2 + -2 = 0
3x + -2 + (0 + -2 + -4x) = 2x + -3(-2 + 4) + 1
3x + -2 + (-2 + -4x) = 2x + -3(-2 + 4) + 1

Remove parenthesis around (-2 + -4x)
3x + -2 + -2 + -4x = 2x + -3(-2 + 4) + 1

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

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

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

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

Multiply -3 * 2
-4 + -1x = 2x + -6 + 1

Reorder the terms:
-4 + -1x = -6 + 1 + 2x

Combine like terms: -6 + 1 = -5
-4 + -1x = -5 + 2x

Solving
-4 + -1x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + -1x + -2x = -5 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-4 + -3x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + -3x = -5 + 0
-4 + -3x = -5

Add '4' to each side of the equation.
-4 + 4 + -3x = -5 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = -5 + 4
-3x = -5 + 4

Combine like terms: -5 + 4 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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