2(x+8)=-5(x-9)

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Solution for 2(x+8)=-5(x-9) equation: 


Simplifying
2(x + 8) = -5(x + -9)

Reorder the terms:
2(8 + x) = -5(x + -9)
(8 * 2 + x * 2) = -5(x + -9)
(16 + 2x) = -5(x + -9)

Reorder the terms:
16 + 2x = -5(-9 + x)
16 + 2x = (-9 * -5 + x * -5)
16 + 2x = (45 + -5x)

Solving
16 + 2x = 45 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
16 + 2x + 5x = 45 + -5x + 5x

Combine like terms: 2x + 5x = 7x
16 + 7x = 45 + -5x + 5x

Combine like terms: -5x + 5x = 0
16 + 7x = 45 + 0
16 + 7x = 45

Add '-16' to each side of the equation.
16 + -16 + 7x = 45 + -16

Combine like terms: 16 + -16 = 0
0 + 7x = 45 + -16
7x = 45 + -16

Combine like terms: 45 + -16 = 29
7x = 29

Divide each side by '7'.
x = 4.142857143

Simplifying
x = 4.142857143

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