-2(2x+3)+4=-4(3x+1)

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Solution for -2(2x+3)+4=-4(3x+1) equation:


Simplifying
-2(2x + 3) + 4 = -4(3x + 1)

Reorder the terms:
-2(3 + 2x) + 4 = -4(3x + 1)
(3 * -2 + 2x * -2) + 4 = -4(3x + 1)
(-6 + -4x) + 4 = -4(3x + 1)

Reorder the terms:
-6 + 4 + -4x = -4(3x + 1)

Combine like terms: -6 + 4 = -2
-2 + -4x = -4(3x + 1)

Reorder the terms:
-2 + -4x = -4(1 + 3x)
-2 + -4x = (1 * -4 + 3x * -4)
-2 + -4x = (-4 + -12x)

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

Solving for variable 'x'.

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

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

Combine like terms: -4x + 12x = 8x
-2 + 8x = -4 + -12x + 12x

Combine like terms: -12x + 12x = 0
-2 + 8x = -4 + 0
-2 + 8x = -4

Add '2' to each side of the equation.
-2 + 2 + 8x = -4 + 2

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

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

Divide each side by '8'.
x = -0.25

Simplifying
x = -0.25

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