0.5(x-8)=0.2x+8-2+0.1x

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Solution for 0.5(x-8)=0.2x+8-2+0.1x equation: 


Simplifying
0.5(x + -8) = 0.2x + 8 + -2 + 0.1x

Reorder the terms:
0.5(-8 + x) = 0.2x + 8 + -2 + 0.1x
(-8 * 0.5 + x * 0.5) = 0.2x + 8 + -2 + 0.1x
(-4 + 0.5x) = 0.2x + 8 + -2 + 0.1x

Reorder the terms:
-4 + 0.5x = 8 + -2 + 0.2x + 0.1x

Combine like terms: 8 + -2 = 6
-4 + 0.5x = 6 + 0.2x + 0.1x

Combine like terms: 0.2x + 0.1x = 0.3x
-4 + 0.5x = 6 + 0.3x

Solving
-4 + 0.5x = 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.
-4 + 0.5x + -0.3x = 6 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
-4 + 0.2x = 6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-4 + 0.2x = 6 + 0.0
-4 + 0.2x = 6

Add '4' to each side of the equation.
-4 + 4 + 0.2x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 0.2x = 6 + 4
0.2x = 6 + 4

Combine like terms: 6 + 4 = 10
0.2x = 10

Divide each side by '0.2'.
x = 50

Simplifying
x = 50

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