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

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


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

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

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

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

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

Combine like terms: -3x + -5x = -8x
4 + -2x = 2 + -8x

Solving
4 + -2x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
4 + -2x + 8x = 2 + -8x + 8x

Combine like terms: -2x + 8x = 6x
4 + 6x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
4 + 6x = 2 + 0
4 + 6x = 2

Add '-4' to each side of the equation.
4 + -4 + 6x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = 2 + -4
6x = 2 + -4

Combine like terms: 2 + -4 = -2
6x = -2

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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