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

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


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

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

Combine like terms: 2 + 1 = 3
3 + -1x = 5x + 9

Reorder the terms:
3 + -1x = 9 + 5x

Solving
3 + -1x = 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.
3 + -1x + -5x = 9 + 5x + -5x

Combine like terms: -1x + -5x = -6x
3 + -6x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -6x = 9 + 0
3 + -6x = 9

Add '-3' to each side of the equation.
3 + -3 + -6x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = 9 + -3
-6x = 9 + -3

Combine like terms: 9 + -3 = 6
-6x = 6

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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