0.2(x-8)=x-16

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Solution for 0.2(x-8)=x-16 equation: 


Simplifying
0.2(x + -8) = x + -16

Reorder the terms:
0.2(-8 + x) = x + -16
(-8 * 0.2 + x * 0.2) = x + -16
(-1.6 + 0.2x) = x + -16

Reorder the terms:
-1.6 + 0.2x = -16 + x

Solving
-1.6 + 0.2x = -16 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1.6 + 0.2x + -1x = -16 + x + -1x

Combine like terms: 0.2x + -1x = -0.8x
-1.6 + -0.8x = -16 + x + -1x

Combine like terms: x + -1x = 0
-1.6 + -0.8x = -16 + 0
-1.6 + -0.8x = -16

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.8x = -16 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.8x = -16 + 1.6
-0.8x = -16 + 1.6

Combine like terms: -16 + 1.6 = -14.4
-0.8x = -14.4

Divide each side by '-0.8'.
x = 18

Simplifying
x = 18

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