(2x-7)+13=5x-19

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Solution for (2x-7)+13=5x-19 equation:


Simplifying
(2x + -7) + 13 = 5x + -19

Reorder the terms:
(-7 + 2x) + 13 = 5x + -19

Remove parenthesis around (-7 + 2x)
-7 + 2x + 13 = 5x + -19

Reorder the terms:
-7 + 13 + 2x = 5x + -19

Combine like terms: -7 + 13 = 6
6 + 2x = 5x + -19

Reorder the terms:
6 + 2x = -19 + 5x

Solving
6 + 2x = -19 + 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 = -19 + 5x + -5x

Combine like terms: 2x + -5x = -3x
6 + -3x = -19 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -3x = -19 + 0
6 + -3x = -19

Add '-6' to each side of the equation.
6 + -6 + -3x = -19 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -19 + -6
-3x = -19 + -6

Combine like terms: -19 + -6 = -25
-3x = -25

Divide each side by '-3'.
x = 8.333333333

Simplifying
x = 8.333333333

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