2.3*x+5.6*(10-x)=32.9

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Solution for 2.3*x+5.6*(10-x)=32.9 equation: 


Simplifying
2.3x + 5.6(10 + -1x) = 32.9
2.3x + (10 * 5.6 + -1x * 5.6) = 32.9
2.3x + (56 + -5.6x) = 32.9

Reorder the terms:
56 + 2.3x + -5.6x = 32.9

Combine like terms: 2.3x + -5.6x = -3.3x
56 + -3.3x = 32.9

Solving
56 + -3.3x = 32.9

Solving for variable 'x'.

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

Add '-56' to each side of the equation.
56 + -56 + -3.3x = 32.9 + -56

Combine like terms: 56 + -56 = 0
0 + -3.3x = 32.9 + -56
-3.3x = 32.9 + -56

Combine like terms: 32.9 + -56 = -23.1
-3.3x = -23.1

Divide each side by '-3.3'.
x = 7

Simplifying
x = 7

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