.05x+.20(24-x)=.10(24)

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Solution for .05x+.20(24-x)=.10(24) equation:


Simplifying
0.05x + 0.20(24 + -1x) = 0.10(24)
0.05x + (24 * 0.20 + -1x * 0.20) = 0.10(24)
0.05x + (4.8 + -0.2x) = 0.10(24)

Reorder the terms:
4.8 + 0.05x + -0.2x = 0.10(24)

Combine like terms: 0.05x + -0.2x = -0.15x
4.8 + -0.15x = 0.10(24)

Multiply 0.10 * 24
4.8 + -0.15x = 2.4

Solving
4.8 + -0.15x = 2.4

Solving for variable 'x'.

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

Add '-4.8' to each side of the equation.
4.8 + -4.8 + -0.15x = 2.4 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -0.15x = 2.4 + -4.8
-0.15x = 2.4 + -4.8

Combine like terms: 2.4 + -4.8 = -2.4
-0.15x = -2.4

Divide each side by '-0.15'.
x = 16

Simplifying
x = 16

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