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

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


Simplifying
6 + 6(12 + -1x) = 4(x + -1) + -1
6 + (12 * 6 + -1x * 6) = 4(x + -1) + -1
6 + (72 + -6x) = 4(x + -1) + -1

Combine like terms: 6 + 72 = 78
78 + -6x = 4(x + -1) + -1

Reorder the terms:
78 + -6x = 4(-1 + x) + -1
78 + -6x = (-1 * 4 + x * 4) + -1
78 + -6x = (-4 + 4x) + -1

Reorder the terms:
78 + -6x = -4 + -1 + 4x

Combine like terms: -4 + -1 = -5
78 + -6x = -5 + 4x

Solving
78 + -6x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
78 + -6x + -4x = -5 + 4x + -4x

Combine like terms: -6x + -4x = -10x
78 + -10x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
78 + -10x = -5 + 0
78 + -10x = -5

Add '-78' to each side of the equation.
78 + -78 + -10x = -5 + -78

Combine like terms: 78 + -78 = 0
0 + -10x = -5 + -78
-10x = -5 + -78

Combine like terms: -5 + -78 = -83
-10x = -83

Divide each side by '-10'.
x = 8.3

Simplifying
x = 8.3

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