29(x+17.9)=15+9(x-5)

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Solution for 29(x+17.9)=15+9(x-5) equation: 


Simplifying
29(x + 17.9) = 15 + 9(x + -5)

Reorder the terms:
29(17.9 + x) = 15 + 9(x + -5)
(17.9 * 29 + x * 29) = 15 + 9(x + -5)
(519.1 + 29x) = 15 + 9(x + -5)

Reorder the terms:
519.1 + 29x = 15 + 9(-5 + x)
519.1 + 29x = 15 + (-5 * 9 + x * 9)
519.1 + 29x = 15 + (-45 + 9x)

Combine like terms: 15 + -45 = -30
519.1 + 29x = -30 + 9x

Solving
519.1 + 29x = -30 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
519.1 + 29x + -9x = -30 + 9x + -9x

Combine like terms: 29x + -9x = 20x
519.1 + 20x = -30 + 9x + -9x

Combine like terms: 9x + -9x = 0
519.1 + 20x = -30 + 0
519.1 + 20x = -30

Add '-519.1' to each side of the equation.
519.1 + -519.1 + 20x = -30 + -519.1

Combine like terms: 519.1 + -519.1 = 0.0
0.0 + 20x = -30 + -519.1
20x = -30 + -519.1

Combine like terms: -30 + -519.1 = -549.1
20x = -549.1

Divide each side by '20'.
x = -27.455

Simplifying
x = -27.455

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