6(3-X)-2(-2)(4x-2)=14x-6(x-3)+2

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Solution for 6(3-X)-2(-2)(4x-2)=14x-6(x-3)+2 equation:


Simplifying
6(3 + -1X) + -2(-2)(4x + -2) = 14x + -6(x + -3) + 2
(3 * 6 + -1X * 6) + -2(-2)(4x + -2) = 14x + -6(x + -3) + 2
(18 + -6X) + -2(-2)(4x + -2) = 14x + -6(x + -3) + 2

Reorder the terms:
18 + -6X + -2 * -2(-2 + 4x) = 14x + -6(x + -3) + 2

Multiply -2 * -2
18 + -6X + 4(-2 + 4x) = 14x + -6(x + -3) + 2
18 + -6X + (-2 * 4 + 4x * 4) = 14x + -6(x + -3) + 2
18 + -6X + (-8 + 16x) = 14x + -6(x + -3) + 2

Reorder the terms:
18 + -8 + -6X + 16x = 14x + -6(x + -3) + 2

Combine like terms: 18 + -8 = 10
10 + -6X + 16x = 14x + -6(x + -3) + 2

Reorder the terms:
10 + -6X + 16x = 14x + -6(-3 + x) + 2
10 + -6X + 16x = 14x + (-3 * -6 + x * -6) + 2
10 + -6X + 16x = 14x + (18 + -6x) + 2

Reorder the terms:
10 + -6X + 16x = 18 + 2 + 14x + -6x

Combine like terms: 18 + 2 = 20
10 + -6X + 16x = 20 + 14x + -6x

Combine like terms: 14x + -6x = 8x
10 + -6X + 16x = 20 + 8x

Solving
10 + -6X + 16x = 20 + 8x

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + -6X + -10 + 16x = 20 + -10 + 8x

Reorder the terms:
10 + -10 + -6X + 16x = 20 + -10 + 8x

Combine like terms: 10 + -10 = 0
0 + -6X + 16x = 20 + -10 + 8x
-6X + 16x = 20 + -10 + 8x

Combine like terms: 20 + -10 = 10
-6X + 16x = 10 + 8x

Add '-16x' to each side of the equation.
-6X + 16x + -16x = 10 + 8x + -16x

Combine like terms: 16x + -16x = 0
-6X + 0 = 10 + 8x + -16x
-6X = 10 + 8x + -16x

Combine like terms: 8x + -16x = -8x
-6X = 10 + -8x

Divide each side by '-6'.
X = -1.666666667 + 1.333333333x

Simplifying
X = -1.666666667 + 1.333333333x

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