6x+(4x-5)-(3x-2)=-2+(4x-3)+2X

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Solution for 6x+(4x-5)-(3x-2)=-2+(4x-3)+2X equation:


Simplifying
6x + (4x + -5) + -1(3x + -2) = -2 + (4x + -3) + 2X

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

Remove parenthesis around (-5 + 4x)
6x + -5 + 4x + -1(3x + -2) = -2 + (4x + -3) + 2X

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

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

Combine like terms: -5 + 2 = -3
-3 + 6x + 4x + -3x = -2 + (4x + -3) + 2X

Combine like terms: 6x + 4x = 10x
-3 + 10x + -3x = -2 + (4x + -3) + 2X

Combine like terms: 10x + -3x = 7x
-3 + 7x = -2 + (4x + -3) + 2X

Reorder the terms:
-3 + 7x = -2 + (-3 + 4x) + 2X

Remove parenthesis around (-3 + 4x)
-3 + 7x = -2 + -3 + 4x + 2X

Reorder the terms:
-3 + 7x = -2 + -3 + 2X + 4x

Combine like terms: -2 + -3 = -5
-3 + 7x = -5 + 2X + 4x

Solving
-3 + 7x = -5 + 2X + 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 + 7x + -4x = -5 + 2X + 4x + -4x

Combine like terms: 7x + -4x = 3x
-3 + 3x = -5 + 2X + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 3x = -5 + 2X + 0
-3 + 3x = -5 + 2X

Add '3' to each side of the equation.
-3 + 3 + 3x = -5 + 3 + 2X

Combine like terms: -3 + 3 = 0
0 + 3x = -5 + 3 + 2X
3x = -5 + 3 + 2X

Combine like terms: -5 + 3 = -2
3x = -2 + 2X

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

Simplifying
x = -0.6666666667 + 0.6666666667X

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