5x-(X-2)=2x-(X+5)

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


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

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

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

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

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

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

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

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

Solving
2 + 5x = -5 + 2x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -5 + -2 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

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