(2x-7)=(x+13)

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Solution for (2x-7)=(x+13) equation:


Simplifying
(2x + -7) = (x + 13)

Reorder the terms:
(-7 + 2x) = (x + 13)

Remove parenthesis around (-7 + 2x)
-7 + 2x = (x + 13)

Reorder the terms:
-7 + 2x = (13 + x)

Remove parenthesis around (13 + x)
-7 + 2x = 13 + x

Solving
-7 + 2x = 13 + 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.
-7 + 2x + -1x = 13 + x + -1x

Combine like terms: 2x + -1x = 1x
-7 + 1x = 13 + x + -1x

Combine like terms: x + -1x = 0
-7 + 1x = 13 + 0
-7 + 1x = 13

Add '7' to each side of the equation.
-7 + 7 + 1x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 13 + 7
1x = 13 + 7

Combine like terms: 13 + 7 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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