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

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


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

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

Combine like terms: 13 + -5 = 8
8 + -1x = 9x + -2

Reorder the terms:
8 + -1x = -2 + 9x

Solving
8 + -1x = -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.
8 + -1x + -9x = -2 + 9x + -9x

Combine like terms: -1x + -9x = -10x
8 + -10x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -10x = -2 + 0
8 + -10x = -2

Add '-8' to each side of the equation.
8 + -8 + -10x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -10x = -2 + -8
-10x = -2 + -8

Combine like terms: -2 + -8 = -10
-10x = -10

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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