0.1(28-x)=0.3(x-20)

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Solution for 0.1(28-x)=0.3(x-20) equation: 


Simplifying
0.1(28 + -1x) = 0.3(x + -20)
(28 * 0.1 + -1x * 0.1) = 0.3(x + -20)
(2.8 + -0.1x) = 0.3(x + -20)

Reorder the terms:
2.8 + -0.1x = 0.3(-20 + x)
2.8 + -0.1x = (-20 * 0.3 + x * 0.3)
2.8 + -0.1x = (-6 + 0.3x)

Solving
2.8 + -0.1x = -6 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
2.8 + -0.1x + -0.3x = -6 + 0.3x + -0.3x

Combine like terms: -0.1x + -0.3x = -0.4x
2.8 + -0.4x = -6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
2.8 + -0.4x = -6 + 0.0
2.8 + -0.4x = -6

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -0.4x = -6 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -0.4x = -6 + -2.8
-0.4x = -6 + -2.8

Combine like terms: -6 + -2.8 = -8.8
-0.4x = -8.8

Divide each side by '-0.4'.
x = 22

Simplifying
x = 22

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