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

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


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

Reorder the terms:
2(8 + x) = -6(-3x + 8)
(8 * 2 + x * 2) = -6(-3x + 8)
(16 + 2x) = -6(-3x + 8)

Reorder the terms:
16 + 2x = -6(8 + -3x)
16 + 2x = (8 * -6 + -3x * -6)
16 + 2x = (-48 + 18x)

Solving
16 + 2x = -48 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
16 + 2x + -18x = -48 + 18x + -18x

Combine like terms: 2x + -18x = -16x
16 + -16x = -48 + 18x + -18x

Combine like terms: 18x + -18x = 0
16 + -16x = -48 + 0
16 + -16x = -48

Add '-16' to each side of the equation.
16 + -16 + -16x = -48 + -16

Combine like terms: 16 + -16 = 0
0 + -16x = -48 + -16
-16x = -48 + -16

Combine like terms: -48 + -16 = -64
-16x = -64

Divide each side by '-16'.
x = 4

Simplifying
x = 4

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