-[3x-(12x+5)]=5+(8x+6)

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Solution for -[3x-(12x+5)]=5+(8x+6) equation:


Simplifying
-1[3x + -1(12x + 5)] = 5 + (8x + 6)

Reorder the terms:
-1[3x + -1(5 + 12x)] = 5 + (8x + 6)
-1[3x + (5 * -1 + 12x * -1)] = 5 + (8x + 6)
-1[3x + (-5 + -12x)] = 5 + (8x + 6)

Reorder the terms:
-1[-5 + 3x + -12x] = 5 + (8x + 6)

Combine like terms: 3x + -12x = -9x
-1[-5 + -9x] = 5 + (8x + 6)
[-5 * -1 + -9x * -1] = 5 + (8x + 6)
[5 + 9x] = 5 + (8x + 6)

Reorder the terms:
5 + 9x = 5 + (6 + 8x)

Remove parenthesis around (6 + 8x)
5 + 9x = 5 + 6 + 8x

Combine like terms: 5 + 6 = 11
5 + 9x = 11 + 8x

Solving
5 + 9x = 11 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
5 + 9x + -8x = 11 + 8x + -8x

Combine like terms: 9x + -8x = 1x
5 + 1x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + 1x = 11 + 0
5 + 1x = 11

Add '-5' to each side of the equation.
5 + -5 + 1x = 11 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 11 + -5
1x = 11 + -5

Combine like terms: 11 + -5 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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