51-[14x+(3x-2)]=12x-[(14x+3)-6]

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Solution for 51-[14x+(3x-2)]=12x-[(14x+3)-6] equation:


Simplifying
51 + -1[14x + (3x + -2)] = 12x + -1[(14x + 3) + -6]

Reorder the terms:
51 + -1[14x + (-2 + 3x)] = 12x + -1[(14x + 3) + -6]

Remove parenthesis around (-2 + 3x)
51 + -1[14x + -2 + 3x] = 12x + -1[(14x + 3) + -6]

Reorder the terms:
51 + -1[-2 + 14x + 3x] = 12x + -1[(14x + 3) + -6]

Combine like terms: 14x + 3x = 17x
51 + -1[-2 + 17x] = 12x + -1[(14x + 3) + -6]
51 + [-2 * -1 + 17x * -1] = 12x + -1[(14x + 3) + -6]
51 + [2 + -17x] = 12x + -1[(14x + 3) + -6]

Combine like terms: 51 + 2 = 53
53 + -17x = 12x + -1[(14x + 3) + -6]

Reorder the terms:
53 + -17x = 12x + -1[(3 + 14x) + -6]

Remove parenthesis around (3 + 14x)
53 + -17x = 12x + -1[3 + 14x + -6]

Reorder the terms:
53 + -17x = 12x + -1[3 + -6 + 14x]

Combine like terms: 3 + -6 = -3
53 + -17x = 12x + -1[-3 + 14x]
53 + -17x = 12x + [-3 * -1 + 14x * -1]
53 + -17x = 12x + [3 + -14x]

Reorder the terms:
53 + -17x = 3 + 12x + -14x

Combine like terms: 12x + -14x = -2x
53 + -17x = 3 + -2x

Solving
53 + -17x = 3 + -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.
53 + -17x + 2x = 3 + -2x + 2x

Combine like terms: -17x + 2x = -15x
53 + -15x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
53 + -15x = 3 + 0
53 + -15x = 3

Add '-53' to each side of the equation.
53 + -53 + -15x = 3 + -53

Combine like terms: 53 + -53 = 0
0 + -15x = 3 + -53
-15x = 3 + -53

Combine like terms: 3 + -53 = -50
-15x = -50

Divide each side by '-15'.
x = 3.333333333

Simplifying
x = 3.333333333

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