0.8*(8-2x)=0.8*(x-1)

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Solution for 0.8*(8-2x)=0.8*(x-1) equation: 


Simplifying
0.8(8 + -2x) = 0.8(x + -1)
(8 * 0.8 + -2x * 0.8) = 0.8(x + -1)
(6.4 + -1.6x) = 0.8(x + -1)

Reorder the terms:
6.4 + -1.6x = 0.8(-1 + x)
6.4 + -1.6x = (-1 * 0.8 + x * 0.8)
6.4 + -1.6x = (-0.8 + 0.8x)

Solving
6.4 + -1.6x = -0.8 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
6.4 + -1.6x + -0.8x = -0.8 + 0.8x + -0.8x

Combine like terms: -1.6x + -0.8x = -2.4x
6.4 + -2.4x = -0.8 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
6.4 + -2.4x = -0.8 + 0.0
6.4 + -2.4x = -0.8

Add '-6.4' to each side of the equation.
6.4 + -6.4 + -2.4x = -0.8 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + -2.4x = -0.8 + -6.4
-2.4x = -0.8 + -6.4

Combine like terms: -0.8 + -6.4 = -7.2
-2.4x = -7.2

Divide each side by '-2.4'.
x = 3

Simplifying
x = 3

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