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

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


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

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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '3'.
x = -1

Simplifying
x = -1

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