2(3x+19)-9x=7-3(11-3x)

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Solution for 2(3x+19)-9x=7-3(11-3x) equation: 


Simplifying
2(3x + 19) + -9x = 7 + -3(11 + -3x)

Reorder the terms:
2(19 + 3x) + -9x = 7 + -3(11 + -3x)
(19 * 2 + 3x * 2) + -9x = 7 + -3(11 + -3x)
(38 + 6x) + -9x = 7 + -3(11 + -3x)

Combine like terms: 6x + -9x = -3x
38 + -3x = 7 + -3(11 + -3x)
38 + -3x = 7 + (11 * -3 + -3x * -3)
38 + -3x = 7 + (-33 + 9x)

Combine like terms: 7 + -33 = -26
38 + -3x = -26 + 9x

Solving
38 + -3x = -26 + 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.
38 + -3x + -9x = -26 + 9x + -9x

Combine like terms: -3x + -9x = -12x
38 + -12x = -26 + 9x + -9x

Combine like terms: 9x + -9x = 0
38 + -12x = -26 + 0
38 + -12x = -26

Add '-38' to each side of the equation.
38 + -38 + -12x = -26 + -38

Combine like terms: 38 + -38 = 0
0 + -12x = -26 + -38
-12x = -26 + -38

Combine like terms: -26 + -38 = -64
-12x = -64

Divide each side by '-12'.
x = 5.333333333

Simplifying
x = 5.333333333

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