0.8x-0.1[8-2x]=0.2[x-8]

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Solution for 0.8x-0.1[8-2x]=0.2[x-8] equation: 


Simplifying
0.8x + -0.1[8 + -2x] = 0.2[x + -8]
0.8x + [8 * -0.1 + -2x * -0.1] = 0.2[x + -8]
0.8x + [-0.8 + 0.2x] = 0.2[x + -8]

Reorder the terms:
-0.8 + 0.8x + 0.2x = 0.2[x + -8]

Combine like terms: 0.8x + 0.2x = 1x
-0.8 + 1x = 0.2[x + -8]

Reorder the terms:
-0.8 + 1x = 0.2[-8 + x]
-0.8 + 1x = [-8 * 0.2 + x * 0.2]
-0.8 + 1x = [-1.6 + 0.2x]

Solving
-0.8 + 1x = -1.6 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-0.8 + 1x + -0.2x = -1.6 + 0.2x + -0.2x

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

Combine like terms: 0.2x + -0.2x = 0.0
-0.8 + 0.8x = -1.6 + 0.0
-0.8 + 0.8x = -1.6

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

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

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

Divide each side by '0.8'.
x = -1

Simplifying
x = -1

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