x-2=5x-1

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


Simplifying
x + -2 = 5x + -1

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

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

Solving
-2 + x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + x + -5x = -1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-2 + -4x = -1 + 0
-2 + -4x = -1

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

Combine like terms: -2 + 2 = 0
0 + -4x = -1 + 2
-4x = -1 + 2

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

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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