0.6*(x-0.6)=1-(x-0.4)*0.8

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Solution for 0.6*(x-0.6)=1-(x-0.4)*0.8 equation: 


Simplifying
0.6(x + -0.6) = 1 + -1(x + -0.4) * 0.8

Reorder the terms:
0.6(-0.6 + x) = 1 + -1(x + -0.4) * 0.8
(-0.6 * 0.6 + x * 0.6) = 1 + -1(x + -0.4) * 0.8
(-0.36 + 0.6x) = 1 + -1(x + -0.4) * 0.8

Reorder the terms:
-0.36 + 0.6x = 1 + -1(-0.4 + x) * 0.8

Reorder the terms for easier multiplication:
-0.36 + 0.6x = 1 + -1 * 0.8(-0.4 + x)

Multiply -1 * 0.8
-0.36 + 0.6x = 1 + -0.8(-0.4 + x)
-0.36 + 0.6x = 1 + (-0.4 * -0.8 + x * -0.8)
-0.36 + 0.6x = 1 + (0.32 + -0.8x)

Combine like terms: 1 + 0.32 = 1.32
-0.36 + 0.6x = 1.32 + -0.8x

Solving
-0.36 + 0.6x = 1.32 + -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.
-0.36 + 0.6x + 0.8x = 1.32 + -0.8x + 0.8x

Combine like terms: 0.6x + 0.8x = 1.4x
-0.36 + 1.4x = 1.32 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-0.36 + 1.4x = 1.32 + 0.0
-0.36 + 1.4x = 1.32

Add '0.36' to each side of the equation.
-0.36 + 0.36 + 1.4x = 1.32 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + 1.4x = 1.32 + 0.36
1.4x = 1.32 + 0.36

Combine like terms: 1.32 + 0.36 = 1.68
1.4x = 1.68

Divide each side by '1.4'.
x = 1.2

Simplifying
x = 1.2

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