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

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


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

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

Reorder the terms:
-12 + -6x = 2(8 + -4x)
-12 + -6x = (8 * 2 + -4x * 2)
-12 + -6x = (16 + -8x)

Solving
-12 + -6x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-12 + -6x + 8x = 16 + -8x + 8x

Combine like terms: -6x + 8x = 2x
-12 + 2x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
-12 + 2x = 16 + 0
-12 + 2x = 16

Add '12' to each side of the equation.
-12 + 12 + 2x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 16 + 12
2x = 16 + 12

Combine like terms: 16 + 12 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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