0.20x+.05(16-x)=.10(23)

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Solution for 0.20x+.05(16-x)=.10(23) equation:


Simplifying
0.20x + 0.05(16 + -1x) = 0.10(23)
0.20x + (16 * 0.05 + -1x * 0.05) = 0.10(23)
0.20x + (0.8 + -0.05x) = 0.10(23)

Reorder the terms:
0.8 + 0.20x + -0.05x = 0.10(23)

Combine like terms: 0.20x + -0.05x = 0.15x
0.8 + 0.15x = 0.10(23)

Multiply 0.10 * 23
0.8 + 0.15x = 2.3

Solving
0.8 + 0.15x = 2.3

Solving for variable 'x'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.15x = 2.3 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.15x = 2.3 + -0.8
0.15x = 2.3 + -0.8

Combine like terms: 2.3 + -0.8 = 1.5
0.15x = 1.5

Divide each side by '0.15'.
x = 10

Simplifying
x = 10

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