7.5x+9.6(23-x)=204

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Solution for 7.5x+9.6(23-x)=204 equation: 


Simplifying
7.5x + 9.6(23 + -1x) = 204
7.5x + (23 * 9.6 + -1x * 9.6) = 204
7.5x + (220.8 + -9.6x) = 204

Reorder the terms:
220.8 + 7.5x + -9.6x = 204

Combine like terms: 7.5x + -9.6x = -2.1x
220.8 + -2.1x = 204

Solving
220.8 + -2.1x = 204

Solving for variable 'x'.

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

Add '-220.8' to each side of the equation.
220.8 + -220.8 + -2.1x = 204 + -220.8

Combine like terms: 220.8 + -220.8 = 0.0
0.0 + -2.1x = 204 + -220.8
-2.1x = 204 + -220.8

Combine like terms: 204 + -220.8 = -16.8
-2.1x = -16.8

Divide each side by '-2.1'.
x = 8

Simplifying
x = 8

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