0.2x-0.6(8-5x)=0.8(x-4)

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Solution for 0.2x-0.6(8-5x)=0.8(x-4) equation: 


Simplifying
0.2x + -0.6(8 + -5x) = 0.8(x + -4)
0.2x + (8 * -0.6 + -5x * -0.6) = 0.8(x + -4)
0.2x + (-4.8 + 3x) = 0.8(x + -4)

Reorder the terms:
-4.8 + 0.2x + 3x = 0.8(x + -4)

Combine like terms: 0.2x + 3x = 3.2x
-4.8 + 3.2x = 0.8(x + -4)

Reorder the terms:
-4.8 + 3.2x = 0.8(-4 + x)
-4.8 + 3.2x = (-4 * 0.8 + x * 0.8)
-4.8 + 3.2x = (-3.2 + 0.8x)

Solving
-4.8 + 3.2x = -3.2 + 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.
-4.8 + 3.2x + -0.8x = -3.2 + 0.8x + -0.8x

Combine like terms: 3.2x + -0.8x = 2.4x
-4.8 + 2.4x = -3.2 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-4.8 + 2.4x = -3.2 + 0.0
-4.8 + 2.4x = -3.2

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 2.4x = -3.2 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 2.4x = -3.2 + 4.8
2.4x = -3.2 + 4.8

Combine like terms: -3.2 + 4.8 = 1.6
2.4x = 1.6

Divide each side by '2.4'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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