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

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


Simplifying
3(2 + -1x) + 4x = x + -2(2x + -3)
(2 * 3 + -1x * 3) + 4x = x + -2(2x + -3)
(6 + -3x) + 4x = x + -2(2x + -3)

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

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

Reorder the terms:
6 + 1x = 6 + x + -4x

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

Add '-6' to each side of the equation.
6 + -6 + 1x = 6 + -6 + -3x

Combine like terms: 6 + -6 = 0
0 + 1x = 6 + -6 + -3x
1x = 6 + -6 + -3x

Combine like terms: 6 + -6 = 0
1x = 0 + -3x
1x = -3x

Solving
1x = -3x

Solving for variable 'x'.

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

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

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

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

Divide each side by '4'.
x = 0

Simplifying
x = 0

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