.03x+.05(2000-x)=99.5

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Solution for .03x+.05(2000-x)=99.5 equation:


Simplifying
0.03x + 0.05(2000 + -1x) = 99.5
0.03x + (2000 * 0.05 + -1x * 0.05) = 99.5
0.03x + (100 + -0.05x) = 99.5

Reorder the terms:
100 + 0.03x + -0.05x = 99.5

Combine like terms: 0.03x + -0.05x = -0.02x
100 + -0.02x = 99.5

Solving
100 + -0.02x = 99.5

Solving for variable 'x'.

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

Add '-100' to each side of the equation.
100 + -100 + -0.02x = 99.5 + -100

Combine like terms: 100 + -100 = 0
0 + -0.02x = 99.5 + -100
-0.02x = 99.5 + -100

Combine like terms: 99.5 + -100 = -0.5
-0.02x = -0.5

Divide each side by '-0.02'.
x = 25

Simplifying
x = 25

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