2x-(x+9)=-2-(3x-25)

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Solution for 2x-(x+9)=-2-(3x-25) equation:


Simplifying
2x + -1(x + 9) = -2 + -1(3x + -25)

Reorder the terms:
2x + -1(9 + x) = -2 + -1(3x + -25)
2x + (9 * -1 + x * -1) = -2 + -1(3x + -25)
2x + (-9 + -1x) = -2 + -1(3x + -25)

Reorder the terms:
-9 + 2x + -1x = -2 + -1(3x + -25)

Combine like terms: 2x + -1x = 1x
-9 + 1x = -2 + -1(3x + -25)

Reorder the terms:
-9 + 1x = -2 + -1(-25 + 3x)
-9 + 1x = -2 + (-25 * -1 + 3x * -1)
-9 + 1x = -2 + (25 + -3x)

Combine like terms: -2 + 25 = 23
-9 + 1x = 23 + -3x

Solving
-9 + 1x = 23 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-9 + 1x + 3x = 23 + -3x + 3x

Combine like terms: 1x + 3x = 4x
-9 + 4x = 23 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 4x = 23 + 0
-9 + 4x = 23

Add '9' to each side of the equation.
-9 + 9 + 4x = 23 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 23 + 9
4x = 23 + 9

Combine like terms: 23 + 9 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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