.04x+.09(100-x)=8

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Solution for .04x+.09(100-x)=8 equation:


Simplifying
0.04x + 0.09(100 + -1x) = 8
0.04x + (100 * 0.09 + -1x * 0.09) = 8
0.04x + (9 + -0.09x) = 8

Reorder the terms:
9 + 0.04x + -0.09x = 8

Combine like terms: 0.04x + -0.09x = -0.05x
9 + -0.05x = 8

Solving
9 + -0.05x = 8

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -0.05x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + -0.05x = 8 + -9
-0.05x = 8 + -9

Combine like terms: 8 + -9 = -1
-0.05x = -1

Divide each side by '-0.05'.
x = 20

Simplifying
x = 20

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