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

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Solution for (5x-2)-(3x-1)=(4x+3)-(5x-2) equation:


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

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

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

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

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

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

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

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

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

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

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

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

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

Solving
-1 + 2x = 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 + 2x + x = 5 + -1x + x

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

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

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

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

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

Divide each side by '3'.
x = 2

Simplifying
x = 2

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