18-.8(x-16)=.5(9x-16)

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Solution for 18-.8(x-16)=.5(9x-16) equation: 


Simplifying
18 + -0.8(x + -16) = 0.5(9x + -16)

Reorder the terms:
18 + -0.8(-16 + x) = 0.5(9x + -16)
18 + (-16 * -0.8 + x * -0.8) = 0.5(9x + -16)
18 + (12.8 + -0.8x) = 0.5(9x + -16)

Combine like terms: 18 + 12.8 = 30.8
30.8 + -0.8x = 0.5(9x + -16)

Reorder the terms:
30.8 + -0.8x = 0.5(-16 + 9x)
30.8 + -0.8x = (-16 * 0.5 + 9x * 0.5)
30.8 + -0.8x = (-8 + 4.5x)

Solving
30.8 + -0.8x = -8 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
30.8 + -0.8x + -4.5x = -8 + 4.5x + -4.5x

Combine like terms: -0.8x + -4.5x = -5.3x
30.8 + -5.3x = -8 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
30.8 + -5.3x = -8 + 0.0
30.8 + -5.3x = -8

Add '-30.8' to each side of the equation.
30.8 + -30.8 + -5.3x = -8 + -30.8

Combine like terms: 30.8 + -30.8 = 0.0
0.0 + -5.3x = -8 + -30.8
-5.3x = -8 + -30.8

Combine like terms: -8 + -30.8 = -38.8
-5.3x = -38.8

Divide each side by '-5.3'.
x = 7.320754717

Simplifying
x = 7.320754717

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