-x+17=-3(x-6)+1

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Solution for -x+17=-3(x-6)+1 equation: 


Simplifying
-1x + 17 = -3(x + -6) + 1

Reorder the terms:
17 + -1x = -3(x + -6) + 1

Reorder the terms:
17 + -1x = -3(-6 + x) + 1
17 + -1x = (-6 * -3 + x * -3) + 1
17 + -1x = (18 + -3x) + 1

Reorder the terms:
17 + -1x = 18 + 1 + -3x

Combine like terms: 18 + 1 = 19
17 + -1x = 19 + -3x

Solving
17 + -1x = 19 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
17 + -1x + 3x = 19 + -3x + 3x

Combine like terms: -1x + 3x = 2x
17 + 2x = 19 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + 2x = 19 + 0
17 + 2x = 19

Add '-17' to each side of the equation.
17 + -17 + 2x = 19 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 19 + -17
2x = 19 + -17

Combine like terms: 19 + -17 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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