(2x+6)=(5x-13)

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Solution for (2x+6)=(5x-13) equation:


Simplifying
(2x + 6) = (5x + -13)

Reorder the terms:
(6 + 2x) = (5x + -13)

Remove parenthesis around (6 + 2x)
6 + 2x = (5x + -13)

Reorder the terms:
6 + 2x = (-13 + 5x)

Remove parenthesis around (-13 + 5x)
6 + 2x = -13 + 5x

Solving
6 + 2x = -13 + 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.
6 + 2x + -5x = -13 + 5x + -5x

Combine like terms: 2x + -5x = -3x
6 + -3x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -3x = -13 + 0
6 + -3x = -13

Add '-6' to each side of the equation.
6 + -6 + -3x = -13 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -13 + -6
-3x = -13 + -6

Combine like terms: -13 + -6 = -19
-3x = -19

Divide each side by '-3'.
x = 6.333333333

Simplifying
x = 6.333333333

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