12(x+2)=15(x-4)-1

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Solution for 12(x+2)=15(x-4)-1 equation: 


Simplifying
12(x + 2) = 15(x + -4) + -1

Reorder the terms:
12(2 + x) = 15(x + -4) + -1
(2 * 12 + x * 12) = 15(x + -4) + -1
(24 + 12x) = 15(x + -4) + -1

Reorder the terms:
24 + 12x = 15(-4 + x) + -1
24 + 12x = (-4 * 15 + x * 15) + -1
24 + 12x = (-60 + 15x) + -1

Reorder the terms:
24 + 12x = -60 + -1 + 15x

Combine like terms: -60 + -1 = -61
24 + 12x = -61 + 15x

Solving
24 + 12x = -61 + 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.
24 + 12x + -15x = -61 + 15x + -15x

Combine like terms: 12x + -15x = -3x
24 + -3x = -61 + 15x + -15x

Combine like terms: 15x + -15x = 0
24 + -3x = -61 + 0
24 + -3x = -61

Add '-24' to each side of the equation.
24 + -24 + -3x = -61 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = -61 + -24
-3x = -61 + -24

Combine like terms: -61 + -24 = -85
-3x = -85

Divide each side by '-3'.
x = 28.33333333

Simplifying
x = 28.33333333

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