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

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


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

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

Solving
2 + 3x = 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 + 3x + 4x = 6 + -4x + 4x

Combine like terms: 3x + 4x = 7x
2 + 7x = 6 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 7x = 6 + 0
2 + 7x = 6

Add '-2' to each side of the equation.
2 + -2 + 7x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 6 + -2
7x = 6 + -2

Combine like terms: 6 + -2 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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