12(x+8)-6(x+3)=1+x+x-3

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Solution for 12(x+8)-6(x+3)=1+x+x-3 equation:


Simplifying
12(x + 8) + -6(x + 3) = 1 + x + x + -3

Reorder the terms:
12(8 + x) + -6(x + 3) = 1 + x + x + -3
(8 * 12 + x * 12) + -6(x + 3) = 1 + x + x + -3
(96 + 12x) + -6(x + 3) = 1 + x + x + -3

Reorder the terms:
96 + 12x + -6(3 + x) = 1 + x + x + -3
96 + 12x + (3 * -6 + x * -6) = 1 + x + x + -3
96 + 12x + (-18 + -6x) = 1 + x + x + -3

Reorder the terms:
96 + -18 + 12x + -6x = 1 + x + x + -3

Combine like terms: 96 + -18 = 78
78 + 12x + -6x = 1 + x + x + -3

Combine like terms: 12x + -6x = 6x
78 + 6x = 1 + x + x + -3

Reorder the terms:
78 + 6x = 1 + -3 + x + x

Combine like terms: 1 + -3 = -2
78 + 6x = -2 + x + x

Combine like terms: x + x = 2x
78 + 6x = -2 + 2x

Solving
78 + 6x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
78 + 6x + -2x = -2 + 2x + -2x

Combine like terms: 6x + -2x = 4x
78 + 4x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
78 + 4x = -2 + 0
78 + 4x = -2

Add '-78' to each side of the equation.
78 + -78 + 4x = -2 + -78

Combine like terms: 78 + -78 = 0
0 + 4x = -2 + -78
4x = -2 + -78

Combine like terms: -2 + -78 = -80
4x = -80

Divide each side by '4'.
x = -20

Simplifying
x = -20

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