x=0.95(x+300)

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Solution for x=0.95(x+300) equation: 


Simplifying
x = 0.95(x + 300)

Reorder the terms:
x = 0.95(300 + x)
x = (300 * 0.95 + x * 0.95)
x = (285 + 0.95x)

Solving
x = 285 + 0.95x

Solving for variable 'x'.

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

Add '-0.95x' to each side of the equation.
x + -0.95x = 285 + 0.95x + -0.95x

Combine like terms: x + -0.95x = 0.05x
0.05x = 285 + 0.95x + -0.95x

Combine like terms: 0.95x + -0.95x = 0.00
0.05x = 285 + 0.00
0.05x = 285

Divide each side by '0.05'.
x = 5700

Simplifying
x = 5700

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