0.2(4x-8.1)=2(3.2x-1.6)

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Solution for 0.2(4x-8.1)=2(3.2x-1.6) equation:


Simplifying
0.2(4x + -8.1) = 2(3.2x + -1.6)

Reorder the terms:
0.2(-8.1 + 4x) = 2(3.2x + -1.6)
(-8.1 * 0.2 + 4x * 0.2) = 2(3.2x + -1.6)
(-1.62 + 0.8x) = 2(3.2x + -1.6)

Reorder the terms:
-1.62 + 0.8x = 2(-1.6 + 3.2x)
-1.62 + 0.8x = (-1.6 * 2 + 3.2x * 2)
-1.62 + 0.8x = (-3.2 + 6.4x)

Solving
-1.62 + 0.8x = -3.2 + 6.4x

Solving for variable 'x'.

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

Add '-6.4x' to each side of the equation.
-1.62 + 0.8x + -6.4x = -3.2 + 6.4x + -6.4x

Combine like terms: 0.8x + -6.4x = -5.6x
-1.62 + -5.6x = -3.2 + 6.4x + -6.4x

Combine like terms: 6.4x + -6.4x = 0.0
-1.62 + -5.6x = -3.2 + 0.0
-1.62 + -5.6x = -3.2

Add '1.62' to each side of the equation.
-1.62 + 1.62 + -5.6x = -3.2 + 1.62

Combine like terms: -1.62 + 1.62 = 0.00
0.00 + -5.6x = -3.2 + 1.62
-5.6x = -3.2 + 1.62

Combine like terms: -3.2 + 1.62 = -1.58
-5.6x = -1.58

Divide each side by '-5.6'.
x = 0.2821428571

Simplifying
x = 0.2821428571

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