3x-14-6x+1=20-3x-3-5x

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Solution for 3x-14-6x+1=20-3x-3-5x equation: 


Simplifying
3x + -14 + -6x + 1 = 20 + -3x + -3 + -5x

Reorder the terms:
-14 + 1 + 3x + -6x = 20 + -3x + -3 + -5x

Combine like terms: -14 + 1 = -13
-13 + 3x + -6x = 20 + -3x + -3 + -5x

Combine like terms: 3x + -6x = -3x
-13 + -3x = 20 + -3x + -3 + -5x

Reorder the terms:
-13 + -3x = 20 + -3 + -3x + -5x

Combine like terms: 20 + -3 = 17
-13 + -3x = 17 + -3x + -5x

Combine like terms: -3x + -5x = -8x
-13 + -3x = 17 + -8x

Solving
-13 + -3x = 17 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-13 + -3x + 8x = 17 + -8x + 8x

Combine like terms: -3x + 8x = 5x
-13 + 5x = 17 + -8x + 8x

Combine like terms: -8x + 8x = 0
-13 + 5x = 17 + 0
-13 + 5x = 17

Add '13' to each side of the equation.
-13 + 13 + 5x = 17 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 17 + 13
5x = 17 + 13

Combine like terms: 17 + 13 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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