2(x+3)=3-2x

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


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

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

Solving
6 + 2x = 3 + -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.
6 + 2x + 2x = 3 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
6 + 4x = 3 + 0
6 + 4x = 3

Add '-6' to each side of the equation.
6 + -6 + 4x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 3 + -6
4x = 3 + -6

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

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

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