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

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


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

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

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

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

Solving
4 + 6x = -1 + -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.
4 + 6x + 2x = -1 + -2x + 2x

Combine like terms: 6x + 2x = 8x
4 + 8x = -1 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 8x = -1 + 0
4 + 8x = -1

Add '-4' to each side of the equation.
4 + -4 + 8x = -1 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = -1 + -4
8x = -1 + -4

Combine like terms: -1 + -4 = -5
8x = -5

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625

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