(x-4)+(5x+12)=(9x-19)

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Solution for (x-4)+(5x+12)=(9x-19) equation:


Simplifying
(x + -4) + (5x + 12) = (9x + -19)

Reorder the terms:
(-4 + x) + (5x + 12) = (9x + -19)

Remove parenthesis around (-4 + x)
-4 + x + (5x + 12) = (9x + -19)

Reorder the terms:
-4 + x + (12 + 5x) = (9x + -19)

Remove parenthesis around (12 + 5x)
-4 + x + 12 + 5x = (9x + -19)

Reorder the terms:
-4 + 12 + x + 5x = (9x + -19)

Combine like terms: -4 + 12 = 8
8 + x + 5x = (9x + -19)

Combine like terms: x + 5x = 6x
8 + 6x = (9x + -19)

Reorder the terms:
8 + 6x = (-19 + 9x)

Remove parenthesis around (-19 + 9x)
8 + 6x = -19 + 9x

Solving
8 + 6x = -19 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + 6x + -9x = -19 + 9x + -9x

Combine like terms: 6x + -9x = -3x
8 + -3x = -19 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -3x = -19 + 0
8 + -3x = -19

Add '-8' to each side of the equation.
8 + -8 + -3x = -19 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -19 + -8
-3x = -19 + -8

Combine like terms: -19 + -8 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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