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

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


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

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

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

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

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

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

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

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

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

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

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

Divide each side by '1'.
x = 20

Simplifying
x = 20

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