x=10+0.45x+0.10x

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Solution for x=10+0.45x+0.10x equation: 


Simplifying
x = 10 + 0.45x + 0.10x

Combine like terms: 0.45x + 0.10x = 0.55x
x = 10 + 0.55x

Solving
x = 10 + 0.55x

Solving for variable 'x'.

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

Add '-0.55x' to each side of the equation.
x + -0.55x = 10 + 0.55x + -0.55x

Combine like terms: x + -0.55x = 0.45x
0.45x = 10 + 0.55x + -0.55x

Combine like terms: 0.55x + -0.55x = 0.00
0.45x = 10 + 0.00
0.45x = 10

Divide each side by '0.45'.
x = 22.22222222

Simplifying
x = 22.22222222

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