0.86x+0.9(12-x)=10.56

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Solution for 0.86x+0.9(12-x)=10.56 equation: 


Simplifying
0.86x + 0.9(12 + -1x) = 10.56
0.86x + (12 * 0.9 + -1x * 0.9) = 10.56
0.86x + (10.8 + -0.9x) = 10.56

Reorder the terms:
10.8 + 0.86x + -0.9x = 10.56

Combine like terms: 0.86x + -0.9x = -0.04x
10.8 + -0.04x = 10.56

Solving
10.8 + -0.04x = 10.56

Solving for variable 'x'.

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

Add '-10.8' to each side of the equation.
10.8 + -10.8 + -0.04x = 10.56 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + -0.04x = 10.56 + -10.8
-0.04x = 10.56 + -10.8

Combine like terms: 10.56 + -10.8 = -0.24
-0.04x = -0.24

Divide each side by '-0.04'.
x = 6

Simplifying
x = 6

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