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

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


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

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

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

Solving
-6 + 2x = -12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + 2x + 4x = -12 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-6 + 6x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 6x = -12 + 0
-6 + 6x = -12

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

Combine like terms: -6 + 6 = 0
0 + 6x = -12 + 6
6x = -12 + 6

Combine like terms: -12 + 6 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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