13-(2x+8)=4+4x-17

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Solution for 13-(2x+8)=4+4x-17 equation: 


Simplifying
13 + -1(2x + 8) = 4 + 4x + -17

Reorder the terms:
13 + -1(8 + 2x) = 4 + 4x + -17
13 + (8 * -1 + 2x * -1) = 4 + 4x + -17
13 + (-8 + -2x) = 4 + 4x + -17

Combine like terms: 13 + -8 = 5
5 + -2x = 4 + 4x + -17

Reorder the terms:
5 + -2x = 4 + -17 + 4x

Combine like terms: 4 + -17 = -13
5 + -2x = -13 + 4x

Solving
5 + -2x = -13 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + -2x + -4x = -13 + 4x + -4x

Combine like terms: -2x + -4x = -6x
5 + -6x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -6x = -13 + 0
5 + -6x = -13

Add '-5' to each side of the equation.
5 + -5 + -6x = -13 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = -13 + -5
-6x = -13 + -5

Combine like terms: -13 + -5 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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