.30x+.10*(20-x)=.16*20

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Solution for .30x+.10*(20-x)=.16*20 equation:


Simplifying
0.30x + 0.10(20 + -1x) = 0.16 * 20
0.30x + (20 * 0.10 + -1x * 0.10) = 0.16 * 20
0.30x + (2 + -0.1x) = 0.16 * 20

Reorder the terms:
2 + 0.30x + -0.1x = 0.16 * 20

Combine like terms: 0.30x + -0.1x = 0.2x
2 + 0.2x = 0.16 * 20

Multiply 0.16 * 20
2 + 0.2x = 3.2

Solving
2 + 0.2x = 3.2

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 0.2x = 3.2 + -2

Combine like terms: 2 + -2 = 0
0 + 0.2x = 3.2 + -2
0.2x = 3.2 + -2

Combine like terms: 3.2 + -2 = 1.2
0.2x = 1.2

Divide each side by '0.2'.
x = 6

Simplifying
x = 6

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