2(2X+19)-9x=9(13-x)+21

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Solution for 2(2X+19)-9x=9(13-x)+21 equation: 


Simplifying
2(2X + 19) + -9x = 9(13 + -1x) + 21

Reorder the terms:
2(19 + 2X) + -9x = 9(13 + -1x) + 21
(19 * 2 + 2X * 2) + -9x = 9(13 + -1x) + 21
(38 + 4X) + -9x = 9(13 + -1x) + 21
38 + 4X + -9x = (13 * 9 + -1x * 9) + 21
38 + 4X + -9x = (117 + -9x) + 21

Reorder the terms:
38 + 4X + -9x = 117 + 21 + -9x

Combine like terms: 117 + 21 = 138
38 + 4X + -9x = 138 + -9x

Add '9x' to each side of the equation.
38 + 4X + -9x + 9x = 138 + -9x + 9x

Combine like terms: -9x + 9x = 0
38 + 4X + 0 = 138 + -9x + 9x
38 + 4X = 138 + -9x + 9x

Combine like terms: -9x + 9x = 0
38 + 4X = 138 + 0
38 + 4X = 138

Solving
38 + 4X = 138

Solving for variable 'X'.

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

Add '-38' to each side of the equation.
38 + -38 + 4X = 138 + -38

Combine like terms: 38 + -38 = 0
0 + 4X = 138 + -38
4X = 138 + -38

Combine like terms: 138 + -38 = 100
4X = 100

Divide each side by '4'.
X = 25

Simplifying
X = 25

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