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

Multiply 9 * 5
2X + 45 = X * 4 + 9

Reorder the terms:
45 + 2X = X * 4 + 9

Reorder the terms for easier multiplication:
45 + 2X = 4X + 9

Reorder the terms:
45 + 2X = 9 + 4X

Solving
45 + 2X = 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 + 2X + -4X = 9 + 4X + -4X

Combine like terms: 2X + -4X = -2X
45 + -2X = 9 + 4X + -4X

Combine like terms: 4X + -4X = 0
45 + -2X = 9 + 0
45 + -2X = 9

Add '-45' to each side of the equation.
45 + -45 + -2X = 9 + -45

Combine like terms: 45 + -45 = 0
0 + -2X = 9 + -45
-2X = 9 + -45

Combine like terms: 9 + -45 = -36
-2X = -36

Divide each side by '-2'.
X = 18

Simplifying
X = 18

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