6(x-4)-2(3x+2)=-7(2x-4)-6-8

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Solution for 6(x-4)-2(3x+2)=-7(2x-4)-6-8 equation:


Simplifying
6(x + -4) + -2(3x + 2) = -7(2x + -4) + -6 + -8

Reorder the terms:
6(-4 + x) + -2(3x + 2) = -7(2x + -4) + -6 + -8
(-4 * 6 + x * 6) + -2(3x + 2) = -7(2x + -4) + -6 + -8
(-24 + 6x) + -2(3x + 2) = -7(2x + -4) + -6 + -8

Reorder the terms:
-24 + 6x + -2(2 + 3x) = -7(2x + -4) + -6 + -8
-24 + 6x + (2 * -2 + 3x * -2) = -7(2x + -4) + -6 + -8
-24 + 6x + (-4 + -6x) = -7(2x + -4) + -6 + -8

Reorder the terms:
-24 + -4 + 6x + -6x = -7(2x + -4) + -6 + -8

Combine like terms: -24 + -4 = -28
-28 + 6x + -6x = -7(2x + -4) + -6 + -8

Combine like terms: 6x + -6x = 0
-28 + 0 = -7(2x + -4) + -6 + -8
-28 = -7(2x + -4) + -6 + -8

Reorder the terms:
-28 = -7(-4 + 2x) + -6 + -8
-28 = (-4 * -7 + 2x * -7) + -6 + -8
-28 = (28 + -14x) + -6 + -8

Reorder the terms:
-28 = 28 + -6 + -8 + -14x

Combine like terms: 28 + -6 = 22
-28 = 22 + -8 + -14x

Combine like terms: 22 + -8 = 14
-28 = 14 + -14x

Solving
-28 = 14 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-28 + 14x = 14 + -14x + 14x

Combine like terms: -14x + 14x = 0
-28 + 14x = 14 + 0
-28 + 14x = 14

Add '28' to each side of the equation.
-28 + 28 + 14x = 14 + 28

Combine like terms: -28 + 28 = 0
0 + 14x = 14 + 28
14x = 14 + 28

Combine like terms: 14 + 28 = 42
14x = 42

Divide each side by '14'.
x = 3

Simplifying
x = 3

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