x-6=5x-2

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Solution for x-6=5x-2 equation:


Simplifying
x + -6 = 5x + -2

Reorder the terms:
-6 + x = 5x + -2

Reorder the terms:
-6 + x = -2 + 5x

Solving
-6 + 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.
-6 + x + -5x = -2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-6 + -4x = -2 + 0
-6 + -4x = -2

Add '6' to each side of the equation.
-6 + 6 + -4x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = -2 + 6
-4x = -2 + 6

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

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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