3x-2=1-4x+x

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


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

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

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

Solving
-2 + 3x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + 3x + 3x = 1 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-2 + 6x = 1 + 0
-2 + 6x = 1

Add '2' to each side of the equation.
-2 + 2 + 6x = 1 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 1 + 2
6x = 1 + 2

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

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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