X=0.3(1+X)

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Solution for X=0.3(1+X) equation: 


Simplifying
X = 0.3(1 + X)
X = (1 * 0.3 + X * 0.3)
X = (0.3 + 0.3X)

Solving
X = 0.3 + 0.3X

Solving for variable 'X'.

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

Add '-0.3X' to each side of the equation.
X + -0.3X = 0.3 + 0.3X + -0.3X

Combine like terms: X + -0.3X = 0.7X
0.7X = 0.3 + 0.3X + -0.3X

Combine like terms: 0.3X + -0.3X = 0.0
0.7X = 0.3 + 0.0
0.7X = 0.3

Divide each side by '0.7'.
X = 0.4285714286

Simplifying
X = 0.4285714286

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