(X*2+9)5=X*4+9

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Solution for (X*2+9)5=X*4+9 equation: 


Simplifying
(X * 2 + 9) * 5 = X * 4 + 9

Reorder the terms for easier multiplication:
(2X + 9) * 5 = X * 4 + 9

Reorder the terms:
(9 + 2X) * 5 = X * 4 + 9

Reorder the terms for easier multiplication:
5(9 + 2X) = X * 4 + 9
(9 * 5 + 2X * 5) = X * 4 + 9
(45 + 10X) = X * 4 + 9

Reorder the terms for easier multiplication:
45 + 10X = 4X + 9

Reorder the terms:
45 + 10X = 9 + 4X

Solving
45 + 10X = 9 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
45 + 10X + -4X = 9 + 4X + -4X

Combine like terms: 10X + -4X = 6X
45 + 6X = 9 + 4X + -4X

Combine like terms: 4X + -4X = 0
45 + 6X = 9 + 0
45 + 6X = 9

Add '-45' to each side of the equation.
45 + -45 + 6X = 9 + -45

Combine like terms: 45 + -45 = 0
0 + 6X = 9 + -45
6X = 9 + -45

Combine like terms: 9 + -45 = -36
6X = -36

Divide each side by '6'.
X = -6

Simplifying
X = -6

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