(2x-5+19)=(5x-4)

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Solution for (2x-5+19)=(5x-4) equation:


Simplifying
(2x + -5 + 19) = (5x + -4)

Reorder the terms:
(-5 + 19 + 2x) = (5x + -4)

Combine like terms: -5 + 19 = 14
(14 + 2x) = (5x + -4)

Remove parenthesis around (14 + 2x)
14 + 2x = (5x + -4)

Reorder the terms:
14 + 2x = (-4 + 5x)

Remove parenthesis around (-4 + 5x)
14 + 2x = -4 + 5x

Solving
14 + 2x = -4 + 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.
14 + 2x + -5x = -4 + 5x + -5x

Combine like terms: 2x + -5x = -3x
14 + -3x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -3x = -4 + 0
14 + -3x = -4

Add '-14' to each side of the equation.
14 + -14 + -3x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -4 + -14
-3x = -4 + -14

Combine like terms: -4 + -14 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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