3x-4-5x-2=2-x-4x+1

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Solution for 3x-4-5x-2=2-x-4x+1 equation:


Simplifying
3x + -4 + -5x + -2 = 2 + -1x + -4x + 1

Reorder the terms:
-4 + -2 + 3x + -5x = 2 + -1x + -4x + 1

Combine like terms: -4 + -2 = -6
-6 + 3x + -5x = 2 + -1x + -4x + 1

Combine like terms: 3x + -5x = -2x
-6 + -2x = 2 + -1x + -4x + 1

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

Combine like terms: 2 + 1 = 3
-6 + -2x = 3 + -1x + -4x

Combine like terms: -1x + -4x = -5x
-6 + -2x = 3 + -5x

Solving
-6 + -2x = 3 + -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.
-6 + -2x + 5x = 3 + -5x + 5x

Combine like terms: -2x + 5x = 3x
-6 + 3x = 3 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 3x = 3 + 0
-6 + 3x = 3

Add '6' to each side of the equation.
-6 + 6 + 3x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 3 + 6
3x = 3 + 6

Combine like terms: 3 + 6 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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