x-13=6x-2

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Solution for x-13=6x-2 equation:


Simplifying
x + -13 = 6x + -2

Reorder the terms:
-13 + x = 6x + -2

Reorder the terms:
-13 + x = -2 + 6x

Solving
-13 + x = -2 + 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.
-13 + x + -6x = -2 + 6x + -6x

Combine like terms: x + -6x = -5x
-13 + -5x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-13 + -5x = -2 + 0
-13 + -5x = -2

Add '13' to each side of the equation.
-13 + 13 + -5x = -2 + 13

Combine like terms: -13 + 13 = 0
0 + -5x = -2 + 13
-5x = -2 + 13

Combine like terms: -2 + 13 = 11
-5x = 11

Divide each side by '-5'.
x = -2.2

Simplifying
x = -2.2

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