2x-5=-4x+1

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


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

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

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

Solving
-5 + 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.
-5 + 2x + 4x = 1 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
-5 + 6x = 1 + 0
-5 + 6x = 1

Add '5' to each side of the equation.
-5 + 5 + 6x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 1 + 5
6x = 1 + 5

Combine like terms: 1 + 5 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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