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 = 100.4x
-3.2 + 100.4x = 0.6x

Solving
-3.2 + 100.4x = 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 + 100.4x + -0.6x = 0.6x + -0.6x

Combine like terms: 100.4x + -0.6x = 99.8x
-3.2 + 99.8x = 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-3.2 + 99.8x = 0.0

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 99.8x = 0.0 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 99.8x = 0.0 + 3.2
99.8x = 0.0 + 3.2

Combine like terms: 0.0 + 3.2 = 3.2
99.8x = 3.2

Divide each side by '99.8'.
x = 0.03206412826

Simplifying
x = 0.03206412826

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