x-1=5x-2

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


Simplifying
x + -1 = 5x + -2

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

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

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

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

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

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

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

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

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

Simplifying
x = 0.25

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