(2x+13)=(5x-21)

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Solution for (2x+13)=(5x-21) equation:


Simplifying
(2x + 13) = (5x + -21)

Reorder the terms:
(13 + 2x) = (5x + -21)

Remove parenthesis around (13 + 2x)
13 + 2x = (5x + -21)

Reorder the terms:
13 + 2x = (-21 + 5x)

Remove parenthesis around (-21 + 5x)
13 + 2x = -21 + 5x

Solving
13 + 2x = -21 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
13 + 2x + -5x = -21 + 5x + -5x

Combine like terms: 2x + -5x = -3x
13 + -3x = -21 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -3x = -21 + 0
13 + -3x = -21

Add '-13' to each side of the equation.
13 + -13 + -3x = -21 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = -21 + -13
-3x = -21 + -13

Combine like terms: -21 + -13 = -34
-3x = -34

Divide each side by '-3'.
x = 11.33333333

Simplifying
x = 11.33333333

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