3(6-4x)=4-(5x-(6x-(4x-(3x+2))))

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Solution for 3(6-4x)=4-(5x-(6x-(4x-(3x+2)))) equation:


Simplifying
3(6 + -4x) = 4 + -1(5x + -1(6x + -1(4x + -1(3x + 2))))
(6 * 3 + -4x * 3) = 4 + -1(5x + -1(6x + -1(4x + -1(3x + 2))))
(18 + -12x) = 4 + -1(5x + -1(6x + -1(4x + -1(3x + 2))))

Reorder the terms:
18 + -12x = 4 + -1(5x + -1(6x + -1(4x + -1(2 + 3x))))
18 + -12x = 4 + -1(5x + -1(6x + -1(4x + (2 * -1 + 3x * -1))))
18 + -12x = 4 + -1(5x + -1(6x + -1(4x + (-2 + -3x))))

Reorder the terms:
18 + -12x = 4 + -1(5x + -1(6x + -1(-2 + 4x + -3x)))

Combine like terms: 4x + -3x = 1x
18 + -12x = 4 + -1(5x + -1(6x + -1(-2 + 1x)))
18 + -12x = 4 + -1(5x + -1(6x + (-2 * -1 + 1x * -1)))
18 + -12x = 4 + -1(5x + -1(6x + (2 + -1x)))

Reorder the terms:
18 + -12x = 4 + -1(5x + -1(2 + 6x + -1x))

Combine like terms: 6x + -1x = 5x
18 + -12x = 4 + -1(5x + -1(2 + 5x))
18 + -12x = 4 + -1(5x + (2 * -1 + 5x * -1))
18 + -12x = 4 + -1(5x + (-2 + -5x))

Reorder the terms:
18 + -12x = 4 + -1(-2 + 5x + -5x)

Combine like terms: 5x + -5x = 0
18 + -12x = 4 + -1(-2 + 0)
18 + -12x = 4 + -1(-2)

Multiply -1 * -2
18 + -12x = 4 + 2

Combine like terms: 4 + 2 = 6
18 + -12x = 6

Solving
18 + -12x = 6

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -12x = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -12x = 6 + -18
-12x = 6 + -18

Combine like terms: 6 + -18 = -12
-12x = -12

Divide each side by '-12'.
x = 1

Simplifying
x = 1

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