-2(3x+9)=-8(x-2)

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Solution for -2(3x+9)=-8(x-2) equation:


Simplifying
-2(3x + 9) = -8(x + -2)

Reorder the terms:
-2(9 + 3x) = -8(x + -2)
(9 * -2 + 3x * -2) = -8(x + -2)
(-18 + -6x) = -8(x + -2)

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

Solving
-18 + -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.
-18 + -6x + 8x = 16 + -8x + 8x

Combine like terms: -6x + 8x = 2x
-18 + 2x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
-18 + 2x = 16 + 0
-18 + 2x = 16

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

Combine like terms: -18 + 18 = 0
0 + 2x = 16 + 18
2x = 16 + 18

Combine like terms: 16 + 18 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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