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

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


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

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

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

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

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

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

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

Solving
2 + 4x = -1 + -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.
2 + 4x + x = -1 + -1x + x

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

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

Add '-2' to each side of the equation.
2 + -2 + 5x = -1 + -2

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

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

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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