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

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


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

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

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

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

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

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

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

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

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

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

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

Reorder the terms:
1 + 3x = -3 + 5 + 3 + -1x + -1x + x

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

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

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

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

Solving
1 + 3x = 5 + -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.
1 + 3x + x = 5 + -1x + x

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

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 5 + -1

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

Combine like terms: 5 + -1 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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