x+200=(x-550)*1.3

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Solution for x+200=(x-550)*1.3 equation:


Simplifying
x + 200 = (x + -550) * 1.3

Reorder the terms:
200 + x = (x + -550) * 1.3

Reorder the terms:
200 + x = (-550 + x) * 1.3

Reorder the terms for easier multiplication:
200 + x = 1.3(-550 + x)
200 + x = (-550 * 1.3 + x * 1.3)
200 + x = (-715 + 1.3x)

Solving
200 + x = -715 + 1.3x

Solving for variable 'x'.

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

Add '-1.3x' to each side of the equation.
200 + x + -1.3x = -715 + 1.3x + -1.3x

Combine like terms: x + -1.3x = -0.3x
200 + -0.3x = -715 + 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
200 + -0.3x = -715 + 0.0
200 + -0.3x = -715

Add '-200' to each side of the equation.
200 + -200 + -0.3x = -715 + -200

Combine like terms: 200 + -200 = 0
0 + -0.3x = -715 + -200
-0.3x = -715 + -200

Combine like terms: -715 + -200 = -915
-0.3x = -915

Divide each side by '-0.3'.
x = 3050

Simplifying
x = 3050

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