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

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


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

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

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

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

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

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

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

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

Reorder the terms:
-3 + 7x = 2x + (-5 + 4x)

Remove parenthesis around (-5 + 4x)
-3 + 7x = 2x + -5 + 4x

Reorder the terms:
-3 + 7x = -5 + 2x + 4x

Combine like terms: 2x + 4x = 6x
-3 + 7x = -5 + 6x

Solving
-3 + 7x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 7x + -6x = -5 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-3 + 1x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 1x = -5 + 0
-3 + 1x = -5

Add '3' to each side of the equation.
-3 + 3 + 1x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -5 + 3
1x = -5 + 3

Combine like terms: -5 + 3 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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