.1x+.05(1000-x)=200

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Solution for .1x+.05(1000-x)=200 equation:


Simplifying
0.1x + 0.05(1000 + -1x) = 200
0.1x + (1000 * 0.05 + -1x * 0.05) = 200
0.1x + (50 + -0.05x) = 200

Reorder the terms:
50 + 0.1x + -0.05x = 200

Combine like terms: 0.1x + -0.05x = 0.05x
50 + 0.05x = 200

Solving
50 + 0.05x = 200

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 0.05x = 200 + -50

Combine like terms: 50 + -50 = 0
0 + 0.05x = 200 + -50
0.05x = 200 + -50

Combine like terms: 200 + -50 = 150
0.05x = 150

Divide each side by '0.05'.
x = 3000

Simplifying
x = 3000

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