5(4x+17)=-9(x-5)

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Solution for 5(4x+17)=-9(x-5) equation:


Simplifying
5(4x + 17) = -9(x + -5)

Reorder the terms:
5(17 + 4x) = -9(x + -5)
(17 * 5 + 4x * 5) = -9(x + -5)
(85 + 20x) = -9(x + -5)

Reorder the terms:
85 + 20x = -9(-5 + x)
85 + 20x = (-5 * -9 + x * -9)
85 + 20x = (45 + -9x)

Solving
85 + 20x = 45 + -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.
85 + 20x + 9x = 45 + -9x + 9x

Combine like terms: 20x + 9x = 29x
85 + 29x = 45 + -9x + 9x

Combine like terms: -9x + 9x = 0
85 + 29x = 45 + 0
85 + 29x = 45

Add '-85' to each side of the equation.
85 + -85 + 29x = 45 + -85

Combine like terms: 85 + -85 = 0
0 + 29x = 45 + -85
29x = 45 + -85

Combine like terms: 45 + -85 = -40
29x = -40

Divide each side by '29'.
x = -1.379310345

Simplifying
x = -1.379310345

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