2(3x+9)=2x-4

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Solution for 2(3x+9)=2x-4 equation:


Simplifying
2(3x + 9) = 2x + -4

Reorder the terms:
2(9 + 3x) = 2x + -4
(9 * 2 + 3x * 2) = 2x + -4
(18 + 6x) = 2x + -4

Reorder the terms:
18 + 6x = -4 + 2x

Solving
18 + 6x = -4 + 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.
18 + 6x + -2x = -4 + 2x + -2x

Combine like terms: 6x + -2x = 4x
18 + 4x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 4x = -4 + 0
18 + 4x = -4

Add '-18' to each side of the equation.
18 + -18 + 4x = -4 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = -4 + -18
4x = -4 + -18

Combine like terms: -4 + -18 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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