.5(3x+17)=1.6(8x-10)

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Solution for .5(3x+17)=1.6(8x-10) equation: 


Simplifying
0.5(3x + 17) = 1.6(8x + -10)

Reorder the terms:
0.5(17 + 3x) = 1.6(8x + -10)
(17 * 0.5 + 3x * 0.5) = 1.6(8x + -10)
(8.5 + 1.5x) = 1.6(8x + -10)

Reorder the terms:
8.5 + 1.5x = 1.6(-10 + 8x)
8.5 + 1.5x = (-10 * 1.6 + 8x * 1.6)
8.5 + 1.5x = (-16 + 12.8x)

Solving
8.5 + 1.5x = -16 + 12.8x

Solving for variable 'x'.

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

Add '-12.8x' to each side of the equation.
8.5 + 1.5x + -12.8x = -16 + 12.8x + -12.8x

Combine like terms: 1.5x + -12.8x = -11.3x
8.5 + -11.3x = -16 + 12.8x + -12.8x

Combine like terms: 12.8x + -12.8x = 0.0
8.5 + -11.3x = -16 + 0.0
8.5 + -11.3x = -16

Add '-8.5' to each side of the equation.
8.5 + -8.5 + -11.3x = -16 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -11.3x = -16 + -8.5
-11.3x = -16 + -8.5

Combine like terms: -16 + -8.5 = -24.5
-11.3x = -24.5

Divide each side by '-11.3'.
x = 2.168141593

Simplifying
x = 2.168141593

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