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

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


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

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

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

Combine like terms: -8x + -6x = -14x
24 + -14x = 2(x + -4)

Reorder the terms:
24 + -14x = 2(-4 + x)
24 + -14x = (-4 * 2 + x * 2)
24 + -14x = (-8 + 2x)

Solving
24 + -14x = -8 + 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.
24 + -14x + -2x = -8 + 2x + -2x

Combine like terms: -14x + -2x = -16x
24 + -16x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + -16x = -8 + 0
24 + -16x = -8

Add '-24' to each side of the equation.
24 + -24 + -16x = -8 + -24

Combine like terms: 24 + -24 = 0
0 + -16x = -8 + -24
-16x = -8 + -24

Combine like terms: -8 + -24 = -32
-16x = -32

Divide each side by '-16'.
x = 2

Simplifying
x = 2

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