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

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


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

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

Combine like terms: 2 + -8 = -6
-6 + 4x = -2(x + 3)

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

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

Combine like terms: -6 + 6 = 0
0 + 4x = -6 + 6 + -2x
4x = -6 + 6 + -2x

Combine like terms: -6 + 6 = 0
4x = 0 + -2x
4x = -2x

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

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

Combine like terms: -2x + 2x = 0
6x = 0

Divide each side by '6'.
x = 0

Simplifying
x = 0

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