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

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


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

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

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

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

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

Combine like terms: 2X + -1X = 1X
2 + 1x = -6 + 1X

Solving
2 + 1x = -6 + 1X

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 1x = -6 + -2 + 1X

Combine like terms: 2 + -2 = 0
0 + 1x = -6 + -2 + 1X
1x = -6 + -2 + 1X

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

Divide each side by '1'.
x = -8 + 1X

Simplifying
x = -8 + 1X

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