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

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


Simplifying
(2x + -3) + -1(4x + -5) + -1(-1x + 3) = 0

Reorder the terms:
(-3 + 2x) + -1(4x + -5) + -1(-1x + 3) = 0

Remove parenthesis around (-3 + 2x)
-3 + 2x + -1(4x + -5) + -1(-1x + 3) = 0

Reorder the terms:
-3 + 2x + -1(-5 + 4x) + -1(-1x + 3) = 0
-3 + 2x + (-5 * -1 + 4x * -1) + -1(-1x + 3) = 0
-3 + 2x + (5 + -4x) + -1(-1x + 3) = 0

Reorder the terms:
-3 + 2x + 5 + -4x + -1(3 + -1x) = 0
-3 + 2x + 5 + -4x + (3 * -1 + -1x * -1) = 0
-3 + 2x + 5 + -4x + (-3 + 1x) = 0

Reorder the terms:
-3 + 5 + -3 + 2x + -4x + 1x = 0

Combine like terms: -3 + 5 = 2
2 + -3 + 2x + -4x + 1x = 0

Combine like terms: 2 + -3 = -1
-1 + 2x + -4x + 1x = 0

Combine like terms: 2x + -4x = -2x
-1 + -2x + 1x = 0

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

Solving
-1 + -1x = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

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

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

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

Simplifying
x = -1

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