2x+3(4x-8)=4-(6x+2)

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Solution for 2x+3(4x-8)=4-(6x+2) equation:


Simplifying
2x + 3(4x + -8) = 4 + -1(6x + 2)

Reorder the terms:
2x + 3(-8 + 4x) = 4 + -1(6x + 2)
2x + (-8 * 3 + 4x * 3) = 4 + -1(6x + 2)
2x + (-24 + 12x) = 4 + -1(6x + 2)

Reorder the terms:
-24 + 2x + 12x = 4 + -1(6x + 2)

Combine like terms: 2x + 12x = 14x
-24 + 14x = 4 + -1(6x + 2)

Reorder the terms:
-24 + 14x = 4 + -1(2 + 6x)
-24 + 14x = 4 + (2 * -1 + 6x * -1)
-24 + 14x = 4 + (-2 + -6x)

Combine like terms: 4 + -2 = 2
-24 + 14x = 2 + -6x

Solving
-24 + 14x = 2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-24 + 14x + 6x = 2 + -6x + 6x

Combine like terms: 14x + 6x = 20x
-24 + 20x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-24 + 20x = 2 + 0
-24 + 20x = 2

Add '24' to each side of the equation.
-24 + 24 + 20x = 2 + 24

Combine like terms: -24 + 24 = 0
0 + 20x = 2 + 24
20x = 2 + 24

Combine like terms: 2 + 24 = 26
20x = 26

Divide each side by '20'.
x = 1.3

Simplifying
x = 1.3

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