.20x+.05(4-x)=.10(20)

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Solution for .20x+.05(4-x)=.10(20) equation:


Simplifying
0.20x + 0.05(4 + -1x) = 0.10(20)
0.20x + (4 * 0.05 + -1x * 0.05) = 0.10(20)
0.20x + (0.2 + -0.05x) = 0.10(20)

Reorder the terms:
0.2 + 0.20x + -0.05x = 0.10(20)

Combine like terms: 0.20x + -0.05x = 0.15x
0.2 + 0.15x = 0.10(20)

Multiply 0.10 * 20
0.2 + 0.15x = 2

Solving
0.2 + 0.15x = 2

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.15x = 2 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.15x = 2 + -0.2
0.15x = 2 + -0.2

Combine like terms: 2 + -0.2 = 1.8
0.15x = 1.8

Divide each side by '0.15'.
x = 12

Simplifying
x = 12

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