.20x+.05(20-x)=.10(34)

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Solution for .20x+.05(20-x)=.10(34) equation:


Simplifying
0.20x + 0.05(20 + -1x) = 0.10(34)
0.20x + (20 * 0.05 + -1x * 0.05) = 0.10(34)
0.20x + (1 + -0.05x) = 0.10(34)

Reorder the terms:
1 + 0.20x + -0.05x = 0.10(34)

Combine like terms: 0.20x + -0.05x = 0.15x
1 + 0.15x = 0.10(34)

Multiply 0.10 * 34
1 + 0.15x = 3.4

Solving
1 + 0.15x = 3.4

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.15x = 3.4 + -1

Combine like terms: 1 + -1 = 0
0 + 0.15x = 3.4 + -1
0.15x = 3.4 + -1

Combine like terms: 3.4 + -1 = 2.4
0.15x = 2.4

Divide each side by '0.15'.
x = 16

Simplifying
x = 16

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