(2x-1)+(x-13)=x

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Solution for (2x-1)+(x-13)=x equation:


Simplifying
(2x + -1) + (x + -13) = x

Reorder the terms:
(-1 + 2x) + (x + -13) = x

Remove parenthesis around (-1 + 2x)
-1 + 2x + (x + -13) = x

Reorder the terms:
-1 + 2x + (-13 + x) = x

Remove parenthesis around (-13 + x)
-1 + 2x + -13 + x = x

Reorder the terms:
-1 + -13 + 2x + x = x

Combine like terms: -1 + -13 = -14
-14 + 2x + x = x

Combine like terms: 2x + x = 3x
-14 + 3x = x

Solving
-14 + 3x = 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.
-14 + 3x + -1x = x + -1x

Combine like terms: 3x + -1x = 2x
-14 + 2x = x + -1x

Combine like terms: x + -1x = 0
-14 + 2x = 0

Add '14' to each side of the equation.
-14 + 14 + 2x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 0 + 14
2x = 0 + 14

Combine like terms: 0 + 14 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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