0.8(x+6)=0.16(x-4)

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Solution for 0.8(x+6)=0.16(x-4) equation: 


Simplifying
0.8(x + 6) = 0.16(x + -4)

Reorder the terms:
0.8(6 + x) = 0.16(x + -4)
(6 * 0.8 + x * 0.8) = 0.16(x + -4)
(4.8 + 0.8x) = 0.16(x + -4)

Reorder the terms:
4.8 + 0.8x = 0.16(-4 + x)
4.8 + 0.8x = (-4 * 0.16 + x * 0.16)
4.8 + 0.8x = (-0.64 + 0.16x)

Solving
4.8 + 0.8x = -0.64 + 0.16x

Solving for variable 'x'.

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

Add '-0.16x' to each side of the equation.
4.8 + 0.8x + -0.16x = -0.64 + 0.16x + -0.16x

Combine like terms: 0.8x + -0.16x = 0.64x
4.8 + 0.64x = -0.64 + 0.16x + -0.16x

Combine like terms: 0.16x + -0.16x = 0.00
4.8 + 0.64x = -0.64 + 0.00
4.8 + 0.64x = -0.64

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 0.64x = -0.64 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 0.64x = -0.64 + -4.8
0.64x = -0.64 + -4.8

Combine like terms: -0.64 + -4.8 = -5.44
0.64x = -5.44

Divide each side by '0.64'.
x = -8.5

Simplifying
x = -8.5

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