(17x-2)+25=(3x+2)-12x

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Solution for (17x-2)+25=(3x+2)-12x equation:


Simplifying
(17x + -2) + 25 = (3x + 2) + -12x

Reorder the terms:
(-2 + 17x) + 25 = (3x + 2) + -12x

Remove parenthesis around (-2 + 17x)
-2 + 17x + 25 = (3x + 2) + -12x

Reorder the terms:
-2 + 25 + 17x = (3x + 2) + -12x

Combine like terms: -2 + 25 = 23
23 + 17x = (3x + 2) + -12x

Reorder the terms:
23 + 17x = (2 + 3x) + -12x

Remove parenthesis around (2 + 3x)
23 + 17x = 2 + 3x + -12x

Combine like terms: 3x + -12x = -9x
23 + 17x = 2 + -9x

Solving
23 + 17x = 2 + -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.
23 + 17x + 9x = 2 + -9x + 9x

Combine like terms: 17x + 9x = 26x
23 + 26x = 2 + -9x + 9x

Combine like terms: -9x + 9x = 0
23 + 26x = 2 + 0
23 + 26x = 2

Add '-23' to each side of the equation.
23 + -23 + 26x = 2 + -23

Combine like terms: 23 + -23 = 0
0 + 26x = 2 + -23
26x = 2 + -23

Combine like terms: 2 + -23 = -21
26x = -21

Divide each side by '26'.
x = -0.8076923077

Simplifying
x = -0.8076923077

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