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

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Solution for 13-(x+9)=5x-2 equation:


Simplifying
13 + -1(x + 9) = 5x + -2

Reorder the terms:
13 + -1(9 + x) = 5x + -2
13 + (9 * -1 + x * -1) = 5x + -2
13 + (-9 + -1x) = 5x + -2

Combine like terms: 13 + -9 = 4
4 + -1x = 5x + -2

Reorder the terms:
4 + -1x = -2 + 5x

Solving
4 + -1x = -2 + 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.
4 + -1x + -5x = -2 + 5x + -5x

Combine like terms: -1x + -5x = -6x
4 + -6x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -6x = -2 + 0
4 + -6x = -2

Add '-4' to each side of the equation.
4 + -4 + -6x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = -2 + -4
-6x = -2 + -4

Combine like terms: -2 + -4 = -6
-6x = -6

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

Simplifying
x = 1

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