.10x+.20(60-x)=10.2

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Solution for .10x+.20(60-x)=10.2 equation:


Simplifying
0.10x + 0.20(60 + -1x) = 10.2
0.10x + (60 * 0.20 + -1x * 0.20) = 10.2
0.10x + (12 + -0.2x) = 10.2

Reorder the terms:
12 + 0.10x + -0.2x = 10.2

Combine like terms: 0.10x + -0.2x = -0.1x
12 + -0.1x = 10.2

Solving
12 + -0.1x = 10.2

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -0.1x = 10.2 + -12

Combine like terms: 12 + -12 = 0
0 + -0.1x = 10.2 + -12
-0.1x = 10.2 + -12

Combine like terms: 10.2 + -12 = -1.8
-0.1x = -1.8

Divide each side by '-0.1'.
x = 18

Simplifying
x = 18

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