6x-13=(x-2)

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


Simplifying
6x + -13 = (x + -2)

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

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

Remove parenthesis around (-2 + x)
-13 + 6x = -2 + x

Solving
-13 + 6x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-13 + 6x + -1x = -2 + x + -1x

Combine like terms: 6x + -1x = 5x
-13 + 5x = -2 + x + -1x

Combine like terms: x + -1x = 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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