X*150+200=X*200+300

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Solution for X*150+200=X*200+300 equation: 


Simplifying
X * 150 + 200 = X * 200 + 300

Reorder the terms for easier multiplication:
150X + 200 = X * 200 + 300

Reorder the terms:
200 + 150X = X * 200 + 300

Reorder the terms for easier multiplication:
200 + 150X = 200X + 300

Reorder the terms:
200 + 150X = 300 + 200X

Solving
200 + 150X = 300 + 200X

Solving for variable 'X'.

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

Add '-200X' to each side of the equation.
200 + 150X + -200X = 300 + 200X + -200X

Combine like terms: 150X + -200X = -50X
200 + -50X = 300 + 200X + -200X

Combine like terms: 200X + -200X = 0
200 + -50X = 300 + 0
200 + -50X = 300

Add '-200' to each side of the equation.
200 + -200 + -50X = 300 + -200

Combine like terms: 200 + -200 = 0
0 + -50X = 300 + -200
-50X = 300 + -200

Combine like terms: 300 + -200 = 100
-50X = 100

Divide each side by '-50'.
X = -2

Simplifying
X = -2

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