x-5=-4x+1

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


Simplifying
x + -5 = -4x + 1

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

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

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

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

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

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

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

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

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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