550x+200=100x-300

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Solution for 550x+200=100x-300 equation:


Simplifying
550x + 200 = 100x + -300

Reorder the terms:
200 + 550x = 100x + -300

Reorder the terms:
200 + 550x = -300 + 100x

Solving
200 + 550x = -300 + 100x

Solving for variable 'x'.

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

Add '-100x' to each side of the equation.
200 + 550x + -100x = -300 + 100x + -100x

Combine like terms: 550x + -100x = 450x
200 + 450x = -300 + 100x + -100x

Combine like terms: 100x + -100x = 0
200 + 450x = -300 + 0
200 + 450x = -300

Add '-200' to each side of the equation.
200 + -200 + 450x = -300 + -200

Combine like terms: 200 + -200 = 0
0 + 450x = -300 + -200
450x = -300 + -200

Combine like terms: -300 + -200 = -500
450x = -500

Divide each side by '450'.
x = -1.111111111

Simplifying
x = -1.111111111

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