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

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


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

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

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

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

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

Combine like terms: -4x + 4x = 0
-2 + 8x = -6 + 0
-2 + 8x = -6

Add '2' to each side of the equation.
-2 + 2 + 8x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = -6 + 2
8x = -6 + 2

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

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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