x-2=6x-3

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Solution for x-2=6x-3 equation:


Simplifying
x + -2 = 6x + -3

Reorder the terms:
-2 + x = 6x + -3

Reorder the terms:
-2 + x = -3 + 6x

Solving
-2 + x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + x + -6x = -3 + 6x + -6x

Combine like terms: x + -6x = -5x
-2 + -5x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -5x = -3 + 0
-2 + -5x = -3

Add '2' to each side of the equation.
-2 + 2 + -5x = -3 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = -3 + 2
-5x = -3 + 2

Combine like terms: -3 + 2 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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