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

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


Simplifying
2(9x + 9) + -1x = -5(-5x + -2)

Reorder the terms:
2(9 + 9x) + -1x = -5(-5x + -2)
(9 * 2 + 9x * 2) + -1x = -5(-5x + -2)
(18 + 18x) + -1x = -5(-5x + -2)

Combine like terms: 18x + -1x = 17x
18 + 17x = -5(-5x + -2)

Reorder the terms:
18 + 17x = -5(-2 + -5x)
18 + 17x = (-2 * -5 + -5x * -5)
18 + 17x = (10 + 25x)

Solving
18 + 17x = 10 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
18 + 17x + -25x = 10 + 25x + -25x

Combine like terms: 17x + -25x = -8x
18 + -8x = 10 + 25x + -25x

Combine like terms: 25x + -25x = 0
18 + -8x = 10 + 0
18 + -8x = 10

Add '-18' to each side of the equation.
18 + -18 + -8x = 10 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = 10 + -18
-8x = 10 + -18

Combine like terms: 10 + -18 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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