.05x+.09(100-x)=7.8

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Solution for .05x+.09(100-x)=7.8 equation:


Simplifying
0.05x + 0.09(100 + -1x) = 7.8
0.05x + (100 * 0.09 + -1x * 0.09) = 7.8
0.05x + (9 + -0.09x) = 7.8

Reorder the terms:
9 + 0.05x + -0.09x = 7.8

Combine like terms: 0.05x + -0.09x = -0.04x
9 + -0.04x = 7.8

Solving
9 + -0.04x = 7.8

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 + -0.04x = 7.8 + -9

Combine like terms: 9 + -9 = 0
0 + -0.04x = 7.8 + -9
-0.04x = 7.8 + -9

Combine like terms: 7.8 + -9 = -1.2
-0.04x = -1.2

Divide each side by '-0.04'.
x = 30

Simplifying
x = 30

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