2(6x+1)=3(x-5)-2

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Solution for 2(6x+1)=3(x-5)-2 equation: 


Simplifying
2(6x + 1) = 3(x + -5) + -2

Reorder the terms:
2(1 + 6x) = 3(x + -5) + -2
(1 * 2 + 6x * 2) = 3(x + -5) + -2
(2 + 12x) = 3(x + -5) + -2

Reorder the terms:
2 + 12x = 3(-5 + x) + -2
2 + 12x = (-5 * 3 + x * 3) + -2
2 + 12x = (-15 + 3x) + -2

Reorder the terms:
2 + 12x = -15 + -2 + 3x

Combine like terms: -15 + -2 = -17
2 + 12x = -17 + 3x

Solving
2 + 12x = -17 + 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.
2 + 12x + -3x = -17 + 3x + -3x

Combine like terms: 12x + -3x = 9x
2 + 9x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 9x = -17 + 0
2 + 9x = -17

Add '-2' to each side of the equation.
2 + -2 + 9x = -17 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = -17 + -2
9x = -17 + -2

Combine like terms: -17 + -2 = -19
9x = -19

Divide each side by '9'.
x = -2.111111111

Simplifying
x = -2.111111111

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