2(X-3)+3(2x-7)=67

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Solution for 2(X-3)+3(2x-7)=67 equation: 


Simplifying
2(X + -3) + 3(2x + -7) = 67

Reorder the terms:
2(-3 + X) + 3(2x + -7) = 67
(-3 * 2 + X * 2) + 3(2x + -7) = 67
(-6 + 2X) + 3(2x + -7) = 67

Reorder the terms:
-6 + 2X + 3(-7 + 2x) = 67
-6 + 2X + (-7 * 3 + 2x * 3) = 67
-6 + 2X + (-21 + 6x) = 67

Reorder the terms:
-6 + -21 + 2X + 6x = 67

Combine like terms: -6 + -21 = -27
-27 + 2X + 6x = 67

Solving
-27 + 2X + 6x = 67

Solving for variable 'X'.

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

Add '27' to each side of the equation.
-27 + 2X + 27 + 6x = 67 + 27

Reorder the terms:
-27 + 27 + 2X + 6x = 67 + 27

Combine like terms: -27 + 27 = 0
0 + 2X + 6x = 67 + 27
2X + 6x = 67 + 27

Combine like terms: 67 + 27 = 94
2X + 6x = 94

Add '-6x' to each side of the equation.
2X + 6x + -6x = 94 + -6x

Combine like terms: 6x + -6x = 0
2X + 0 = 94 + -6x
2X = 94 + -6x

Divide each side by '2'.
X = 47 + -3x

Simplifying
X = 47 + -3x

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