-3(x-6)+13=20+x-1

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Solution for -3(x-6)+13=20+x-1 equation: 


Simplifying
-3(x + -6) + 13 = 20 + x + -1

Reorder the terms:
-3(-6 + x) + 13 = 20 + x + -1
(-6 * -3 + x * -3) + 13 = 20 + x + -1
(18 + -3x) + 13 = 20 + x + -1

Reorder the terms:
18 + 13 + -3x = 20 + x + -1

Combine like terms: 18 + 13 = 31
31 + -3x = 20 + x + -1

Reorder the terms:
31 + -3x = 20 + -1 + x

Combine like terms: 20 + -1 = 19
31 + -3x = 19 + x

Solving
31 + -3x = 19 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
31 + -3x + -1x = 19 + x + -1x

Combine like terms: -3x + -1x = -4x
31 + -4x = 19 + x + -1x

Combine like terms: x + -1x = 0
31 + -4x = 19 + 0
31 + -4x = 19

Add '-31' to each side of the equation.
31 + -31 + -4x = 19 + -31

Combine like terms: 31 + -31 = 0
0 + -4x = 19 + -31
-4x = 19 + -31

Combine like terms: 19 + -31 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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