2(x-3)-17=13-3(x+20)-(-x-5)

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Solution for 2(x-3)-17=13-3(x+20)-(-x-5) equation: 


Simplifying
2(x + -3) + -17 = 13 + -3(x + 20) + -1(-1x + -5)

Reorder the terms:
2(-3 + x) + -17 = 13 + -3(x + 20) + -1(-1x + -5)
(-3 * 2 + x * 2) + -17 = 13 + -3(x + 20) + -1(-1x + -5)
(-6 + 2x) + -17 = 13 + -3(x + 20) + -1(-1x + -5)

Reorder the terms:
-6 + -17 + 2x = 13 + -3(x + 20) + -1(-1x + -5)

Combine like terms: -6 + -17 = -23
-23 + 2x = 13 + -3(x + 20) + -1(-1x + -5)

Reorder the terms:
-23 + 2x = 13 + -3(20 + x) + -1(-1x + -5)
-23 + 2x = 13 + (20 * -3 + x * -3) + -1(-1x + -5)
-23 + 2x = 13 + (-60 + -3x) + -1(-1x + -5)

Reorder the terms:
-23 + 2x = 13 + -60 + -3x + -1(-5 + -1x)
-23 + 2x = 13 + -60 + -3x + (-5 * -1 + -1x * -1)
-23 + 2x = 13 + -60 + -3x + (5 + 1x)

Reorder the terms:
-23 + 2x = 13 + -60 + 5 + -3x + 1x

Combine like terms: 13 + -60 = -47
-23 + 2x = -47 + 5 + -3x + 1x

Combine like terms: -47 + 5 = -42
-23 + 2x = -42 + -3x + 1x

Combine like terms: -3x + 1x = -2x
-23 + 2x = -42 + -2x

Solving
-23 + 2x = -42 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-23 + 2x + 2x = -42 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-23 + 4x = -42 + -2x + 2x

Combine like terms: -2x + 2x = 0
-23 + 4x = -42 + 0
-23 + 4x = -42

Add '23' to each side of the equation.
-23 + 23 + 4x = -42 + 23

Combine like terms: -23 + 23 = 0
0 + 4x = -42 + 23
4x = -42 + 23

Combine like terms: -42 + 23 = -19
4x = -19

Divide each side by '4'.
x = -4.75

Simplifying
x = -4.75

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