3(X+9)+2(2x-3)=16

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Solution for 3(X+9)+2(2x-3)=16 equation:


Simplifying
3(X + 9) + 2(2x + -3) = 16

Reorder the terms:
3(9 + X) + 2(2x + -3) = 16
(9 * 3 + X * 3) + 2(2x + -3) = 16
(27 + 3X) + 2(2x + -3) = 16

Reorder the terms:
27 + 3X + 2(-3 + 2x) = 16
27 + 3X + (-3 * 2 + 2x * 2) = 16
27 + 3X + (-6 + 4x) = 16

Reorder the terms:
27 + -6 + 3X + 4x = 16

Combine like terms: 27 + -6 = 21
21 + 3X + 4x = 16

Solving
21 + 3X + 4x = 16

Solving for variable 'X'.

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

Add '-21' to each side of the equation.
21 + 3X + -21 + 4x = 16 + -21

Reorder the terms:
21 + -21 + 3X + 4x = 16 + -21

Combine like terms: 21 + -21 = 0
0 + 3X + 4x = 16 + -21
3X + 4x = 16 + -21

Combine like terms: 16 + -21 = -5
3X + 4x = -5

Add '-4x' to each side of the equation.
3X + 4x + -4x = -5 + -4x

Combine like terms: 4x + -4x = 0
3X + 0 = -5 + -4x
3X = -5 + -4x

Divide each side by '3'.
X = -1.666666667 + -1.333333333x

Simplifying
X = -1.666666667 + -1.333333333x

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