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 = -2
6x = -2

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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