100x+0.4(8-x)=0.6x

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Solution for 100x+0.4(8-x)=0.6x equation:


Simplifying
100x + 0.4(8 + -1x) = 0.6x
100x + (8 * 0.4 + -1x * 0.4) = 0.6x
100x + (3.2 + -0.4x) = 0.6x

Reorder the terms:
3.2 + 100x + -0.4x = 0.6x

Combine like terms: 100x + -0.4x = 99.6x
3.2 + 99.6x = 0.6x

Solving
3.2 + 99.6x = 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
3.2 + 99.6x + -0.6x = 0.6x + -0.6x

Combine like terms: 99.6x + -0.6x = 99x
3.2 + 99x = 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
3.2 + 99x = 0.0

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 99x = 0.0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 99x = 0.0 + -3.2
99x = 0.0 + -3.2

Combine like terms: 0.0 + -3.2 = -3.2
99x = -3.2

Divide each side by '99'.
x = -0.03232323232

Simplifying
x = -0.03232323232

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