2X+7=3(X+2)-11

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Solution for 2X+7=3(X+2)-11 equation: 


Simplifying
2X + 7 = 3(X + 2) + -11

Reorder the terms:
7 + 2X = 3(X + 2) + -11

Reorder the terms:
7 + 2X = 3(2 + X) + -11
7 + 2X = (2 * 3 + X * 3) + -11
7 + 2X = (6 + 3X) + -11

Reorder the terms:
7 + 2X = 6 + -11 + 3X

Combine like terms: 6 + -11 = -5
7 + 2X = -5 + 3X

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

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

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

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

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

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

Divide each side by '-1'.
X = 12

Simplifying
X = 12

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