3(x-2)-x=-5x-4(2-x)

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Solution for 3(x-2)-x=-5x-4(2-x) equation:


Simplifying
3(x + -2) + -1x = -5x + -4(2 + -1x)

Reorder the terms:
3(-2 + x) + -1x = -5x + -4(2 + -1x)
(-2 * 3 + x * 3) + -1x = -5x + -4(2 + -1x)
(-6 + 3x) + -1x = -5x + -4(2 + -1x)

Combine like terms: 3x + -1x = 2x
-6 + 2x = -5x + -4(2 + -1x)
-6 + 2x = -5x + (2 * -4 + -1x * -4)
-6 + 2x = -5x + (-8 + 4x)

Reorder the terms:
-6 + 2x = -8 + -5x + 4x

Combine like terms: -5x + 4x = -1x
-6 + 2x = -8 + -1x

Solving
-6 + 2x = -8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 2x + x = -8 + -1x + x

Combine like terms: 2x + x = 3x
-6 + 3x = -8 + -1x + x

Combine like terms: -1x + x = 0
-6 + 3x = -8 + 0
-6 + 3x = -8

Add '6' to each side of the equation.
-6 + 6 + 3x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = -8 + 6
3x = -8 + 6

Combine like terms: -8 + 6 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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