0.1*(x-9)*2.25=0.1*x*2

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Solution for 0.1*(x-9)*2.25=0.1*x*2 equation: 


Simplifying
0.1(x + -9) * 2.25 = 0.1x * 2

Reorder the terms:
0.1(-9 + x) * 2.25 = 0.1x * 2

Reorder the terms for easier multiplication:
0.1 * 2.25(-9 + x) = 0.1x * 2

Multiply 0.1 * 2.25
0.225(-9 + x) = 0.1x * 2
(-9 * 0.225 + x * 0.225) = 0.1x * 2
(-2.025 + 0.225x) = 0.1x * 2

Reorder the terms for easier multiplication:
-2.025 + 0.225x = 0.1 * 2x

Multiply 0.1 * 2
-2.025 + 0.225x = 0.2x

Solving
-2.025 + 0.225x = 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-2.025 + 0.225x + -0.2x = 0.2x + -0.2x

Combine like terms: 0.225x + -0.2x = 0.025x
-2.025 + 0.025x = 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-2.025 + 0.025x = 0.0

Add '2.025' to each side of the equation.
-2.025 + 2.025 + 0.025x = 0.0 + 2.025

Combine like terms: -2.025 + 2.025 = 0.000
0.000 + 0.025x = 0.0 + 2.025
0.025x = 0.0 + 2.025

Combine like terms: 0.0 + 2.025 = 2.025
0.025x = 2.025

Divide each side by '0.025'.
x = 81

Simplifying
x = 81

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