3.2(2x-6)=1.6(4-x)

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Solution for 3.2(2x-6)=1.6(4-x) equation: 


Simplifying
3.2(2x + -6) = 1.6(4 + -1x)

Reorder the terms:
3.2(-6 + 2x) = 1.6(4 + -1x)
(-6 * 3.2 + 2x * 3.2) = 1.6(4 + -1x)
(-19.2 + 6.4x) = 1.6(4 + -1x)
-19.2 + 6.4x = (4 * 1.6 + -1x * 1.6)
-19.2 + 6.4x = (6.4 + -1.6x)

Solving
-19.2 + 6.4x = 6.4 + -1.6x

Solving for variable 'x'.

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

Add '1.6x' to each side of the equation.
-19.2 + 6.4x + 1.6x = 6.4 + -1.6x + 1.6x

Combine like terms: 6.4x + 1.6x = 8x
-19.2 + 8x = 6.4 + -1.6x + 1.6x

Combine like terms: -1.6x + 1.6x = 0.0
-19.2 + 8x = 6.4 + 0.0
-19.2 + 8x = 6.4

Add '19.2' to each side of the equation.
-19.2 + 19.2 + 8x = 6.4 + 19.2

Combine like terms: -19.2 + 19.2 = 0.0
0.0 + 8x = 6.4 + 19.2
8x = 6.4 + 19.2

Combine like terms: 6.4 + 19.2 = 25.6
8x = 25.6

Divide each side by '8'.
x = 3.2

Simplifying
x = 3.2

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