9-13x+5=x*3-2-20x

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Solution for 9-13x+5=x*3-2-20x equation:


Simplifying
9 + -13x + 5 = x * 3 + -2 + -20x

Reorder the terms:
9 + 5 + -13x = x * 3 + -2 + -20x

Combine like terms: 9 + 5 = 14
14 + -13x = x * 3 + -2 + -20x

Reorder the terms for easier multiplication:
14 + -13x = 3x + -2 + -20x

Reorder the terms:
14 + -13x = -2 + 3x + -20x

Combine like terms: 3x + -20x = -17x
14 + -13x = -2 + -17x

Solving
14 + -13x = -2 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
14 + -13x + 17x = -2 + -17x + 17x

Combine like terms: -13x + 17x = 4x
14 + 4x = -2 + -17x + 17x

Combine like terms: -17x + 17x = 0
14 + 4x = -2 + 0
14 + 4x = -2

Add '-14' to each side of the equation.
14 + -14 + 4x = -2 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = -2 + -14
4x = -2 + -14

Combine like terms: -2 + -14 = -16
4x = -16

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

Simplifying
x = -4

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