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

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


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

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

Remove parenthesis around (-3 + 2x)
3 = -3 + 2x + -2(3x + -2)

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

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

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

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

Solving
3 = 1 + -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.
3 + 4x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 4x = 1 + 0
3 + 4x = 1

Add '-3' to each side of the equation.
3 + -3 + 4x = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 1 + -3
4x = 1 + -3

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

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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