.06(x)+.05(10000-x)=560

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Solution for .06(x)+.05(10000-x)=560 equation:


Simplifying
0.06(x) + 0.05(10000 + -1x) = 560
0.06x + (10000 * 0.05 + -1x * 0.05) = 560
0.06x + (500 + -0.05x) = 560

Reorder the terms:
500 + 0.06x + -0.05x = 560

Combine like terms: 0.06x + -0.05x = 0.01x
500 + 0.01x = 560

Solving
500 + 0.01x = 560

Solving for variable 'x'.

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

Add '-500' to each side of the equation.
500 + -500 + 0.01x = 560 + -500

Combine like terms: 500 + -500 = 0
0 + 0.01x = 560 + -500
0.01x = 560 + -500

Combine like terms: 560 + -500 = 60
0.01x = 60

Divide each side by '0.01'.
x = 6000

Simplifying
x = 6000

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