2x-3=-4x+1

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


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

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

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

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

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-3 + 2x + 4x = 1 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
-3 + 6x = 1 + 0
-3 + 6x = 1

Add '3' to each side of the equation.
-3 + 3 + 6x = 1 + 3

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

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

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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