5X+(X-3)=X-(2X+5)

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


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

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

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

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

Combine like terms: 5X + X = 6X
-3 + 6X = X + -1(2X + 5)

Reorder the terms:
-3 + 6X = X + -1(5 + 2X)
-3 + 6X = X + (5 * -1 + 2X * -1)
-3 + 6X = X + (-5 + -2X)

Reorder the terms:
-3 + 6X = -5 + X + -2X

Combine like terms: X + -2X = -1X
-3 + 6X = -5 + -1X

Solving
-3 + 6X = -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.
-3 + 6X + X = -5 + -1X + X

Combine like terms: 6X + X = 7X
-3 + 7X = -5 + -1X + X

Combine like terms: -1X + X = 0
-3 + 7X = -5 + 0
-3 + 7X = -5

Add '3' to each side of the equation.
-3 + 3 + 7X = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 7X = -5 + 3
7X = -5 + 3

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

Divide each side by '7'.
X = -0.2857142857

Simplifying
X = -0.2857142857

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