3(-4x-17)+9x=12(x-3)+1

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Solution for 3(-4x-17)+9x=12(x-3)+1 equation: 


Simplifying
3(-4x + -17) + 9x = 12(x + -3) + 1

Reorder the terms:
3(-17 + -4x) + 9x = 12(x + -3) + 1
(-17 * 3 + -4x * 3) + 9x = 12(x + -3) + 1
(-51 + -12x) + 9x = 12(x + -3) + 1

Combine like terms: -12x + 9x = -3x
-51 + -3x = 12(x + -3) + 1

Reorder the terms:
-51 + -3x = 12(-3 + x) + 1
-51 + -3x = (-3 * 12 + x * 12) + 1
-51 + -3x = (-36 + 12x) + 1

Reorder the terms:
-51 + -3x = -36 + 1 + 12x

Combine like terms: -36 + 1 = -35
-51 + -3x = -35 + 12x

Solving
-51 + -3x = -35 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-51 + -3x + -12x = -35 + 12x + -12x

Combine like terms: -3x + -12x = -15x
-51 + -15x = -35 + 12x + -12x

Combine like terms: 12x + -12x = 0
-51 + -15x = -35 + 0
-51 + -15x = -35

Add '51' to each side of the equation.
-51 + 51 + -15x = -35 + 51

Combine like terms: -51 + 51 = 0
0 + -15x = -35 + 51
-15x = -35 + 51

Combine like terms: -35 + 51 = 16
-15x = 16

Divide each side by '-15'.
x = -1.066666667

Simplifying
x = -1.066666667

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