5x-4(3x-1)-(6x+1)=5(3x+12)-1

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Solution for 5x-4(3x-1)-(6x+1)=5(3x+12)-1 equation: 


Simplifying
5x + -4(3x + -1) + -1(6x + 1) = 5(3x + 12) + -1

Reorder the terms:
5x + -4(-1 + 3x) + -1(6x + 1) = 5(3x + 12) + -1
5x + (-1 * -4 + 3x * -4) + -1(6x + 1) = 5(3x + 12) + -1
5x + (4 + -12x) + -1(6x + 1) = 5(3x + 12) + -1

Reorder the terms:
5x + 4 + -12x + -1(1 + 6x) = 5(3x + 12) + -1
5x + 4 + -12x + (1 * -1 + 6x * -1) = 5(3x + 12) + -1
5x + 4 + -12x + (-1 + -6x) = 5(3x + 12) + -1

Reorder the terms:
4 + -1 + 5x + -12x + -6x = 5(3x + 12) + -1

Combine like terms: 4 + -1 = 3
3 + 5x + -12x + -6x = 5(3x + 12) + -1

Combine like terms: 5x + -12x = -7x
3 + -7x + -6x = 5(3x + 12) + -1

Combine like terms: -7x + -6x = -13x
3 + -13x = 5(3x + 12) + -1

Reorder the terms:
3 + -13x = 5(12 + 3x) + -1
3 + -13x = (12 * 5 + 3x * 5) + -1
3 + -13x = (60 + 15x) + -1

Reorder the terms:
3 + -13x = 60 + -1 + 15x

Combine like terms: 60 + -1 = 59
3 + -13x = 59 + 15x

Solving
3 + -13x = 59 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
3 + -13x + -15x = 59 + 15x + -15x

Combine like terms: -13x + -15x = -28x
3 + -28x = 59 + 15x + -15x

Combine like terms: 15x + -15x = 0
3 + -28x = 59 + 0
3 + -28x = 59

Add '-3' to each side of the equation.
3 + -3 + -28x = 59 + -3

Combine like terms: 3 + -3 = 0
0 + -28x = 59 + -3
-28x = 59 + -3

Combine like terms: 59 + -3 = 56
-28x = 56

Divide each side by '-28'.
x = -2

Simplifying
x = -2

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