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

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


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

Reorder the terms:
2(9 + x) = (-5)(x + -5)
(9 * 2 + x * 2) = (-5)(x + -5)
(18 + 2x) = (-5)(x + -5)

Reorder the terms:
18 + 2x = -5(-5 + x)
18 + 2x = (-5 * -5 + x * -5)
18 + 2x = (25 + -5x)

Solving
18 + 2x = 25 + -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.
18 + 2x + 5x = 25 + -5x + 5x

Combine like terms: 2x + 5x = 7x
18 + 7x = 25 + -5x + 5x

Combine like terms: -5x + 5x = 0
18 + 7x = 25 + 0
18 + 7x = 25

Add '-18' to each side of the equation.
18 + -18 + 7x = 25 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = 25 + -18
7x = 25 + -18

Combine like terms: 25 + -18 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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