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

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


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

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

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

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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 5 + -3

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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