X+(X-2)+(X-3)=2X+7

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Solution for X+(X-2)+(X-3)=2X+7 equation: 


Simplifying
X + (X + -2) + (X + -3) = 2X + 7

Reorder the terms:
X + (-2 + X) + (X + -3) = 2X + 7

Remove parenthesis around (-2 + X)
X + -2 + X + (X + -3) = 2X + 7

Reorder the terms:
X + -2 + X + (-3 + X) = 2X + 7

Remove parenthesis around (-3 + X)
X + -2 + X + -3 + X = 2X + 7

Reorder the terms:
-2 + -3 + X + X + X = 2X + 7

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

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

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

Reorder the terms:
-5 + 3X = 7 + 2X

Solving
-5 + 3X = 7 + 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.
-5 + 3X + -2X = 7 + 2X + -2X

Combine like terms: 3X + -2X = 1X
-5 + 1X = 7 + 2X + -2X

Combine like terms: 2X + -2X = 0
-5 + 1X = 7 + 0
-5 + 1X = 7

Add '5' to each side of the equation.
-5 + 5 + 1X = 7 + 5

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

Combine like terms: 7 + 5 = 12
1X = 12

Divide each side by '1'.
X = 12

Simplifying
X = 12

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