2(x-1)+25=-(5x-9)

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Solution for 2(x-1)+25=-(5x-9) equation:


Simplifying
2(x + -1) + 25 = -1(5x + -9)

Reorder the terms:
2(-1 + x) + 25 = -1(5x + -9)
(-1 * 2 + x * 2) + 25 = -1(5x + -9)
(-2 + 2x) + 25 = -1(5x + -9)

Reorder the terms:
-2 + 25 + 2x = -1(5x + -9)

Combine like terms: -2 + 25 = 23
23 + 2x = -1(5x + -9)

Reorder the terms:
23 + 2x = -1(-9 + 5x)
23 + 2x = (-9 * -1 + 5x * -1)
23 + 2x = (9 + -5x)

Solving
23 + 2x = 9 + -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.
23 + 2x + 5x = 9 + -5x + 5x

Combine like terms: 2x + 5x = 7x
23 + 7x = 9 + -5x + 5x

Combine like terms: -5x + 5x = 0
23 + 7x = 9 + 0
23 + 7x = 9

Add '-23' to each side of the equation.
23 + -23 + 7x = 9 + -23

Combine like terms: 23 + -23 = 0
0 + 7x = 9 + -23
7x = 9 + -23

Combine like terms: 9 + -23 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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