13-(x+5)=5x-4

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Solution for 13-(x+5)=5x-4 equation:


Simplifying
13 + -1(x + 5) = 5x + -4

Reorder the terms:
13 + -1(5 + x) = 5x + -4
13 + (5 * -1 + x * -1) = 5x + -4
13 + (-5 + -1x) = 5x + -4

Combine like terms: 13 + -5 = 8
8 + -1x = 5x + -4

Reorder the terms:
8 + -1x = -4 + 5x

Solving
8 + -1x = -4 + 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.
8 + -1x + -5x = -4 + 5x + -5x

Combine like terms: -1x + -5x = -6x
8 + -6x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -6x = -4 + 0
8 + -6x = -4

Add '-8' to each side of the equation.
8 + -8 + -6x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -4 + -8
-6x = -4 + -8

Combine like terms: -4 + -8 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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