5(X+6)=3X-14

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Solution for 5(X+6)=3X-14 equation:


Simplifying
5(X + 6) = 3X + -14

Reorder the terms:
5(6 + X) = 3X + -14
(6 * 5 + X * 5) = 3X + -14
(30 + 5X) = 3X + -14

Reorder the terms:
30 + 5X = -14 + 3X

Solving
30 + 5X = -14 + 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.
30 + 5X + -3X = -14 + 3X + -3X

Combine like terms: 5X + -3X = 2X
30 + 2X = -14 + 3X + -3X

Combine like terms: 3X + -3X = 0
30 + 2X = -14 + 0
30 + 2X = -14

Add '-30' to each side of the equation.
30 + -30 + 2X = -14 + -30

Combine like terms: 30 + -30 = 0
0 + 2X = -14 + -30
2X = -14 + -30

Combine like terms: -14 + -30 = -44
2X = -44

Divide each side by '2'.
X = -22

Simplifying
X = -22

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