0.1x+0.6(5500-x)=500

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Solution for 0.1x+0.6(5500-x)=500 equation: 


Simplifying
0.1x + 0.6(5500 + -1x) = 500
0.1x + (5500 * 0.6 + -1x * 0.6) = 500
0.1x + (3300 + -0.6x) = 500

Reorder the terms:
3300 + 0.1x + -0.6x = 500

Combine like terms: 0.1x + -0.6x = -0.5x
3300 + -0.5x = 500

Solving
3300 + -0.5x = 500

Solving for variable 'x'.

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

Add '-3300' to each side of the equation.
3300 + -3300 + -0.5x = 500 + -3300

Combine like terms: 3300 + -3300 = 0
0 + -0.5x = 500 + -3300
-0.5x = 500 + -3300

Combine like terms: 500 + -3300 = -2800
-0.5x = -2800

Divide each side by '-0.5'.
x = 5600

Simplifying
x = 5600

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