2(3X+1)-3(4-X)=X+14

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Solution for 2(3X+1)-3(4-X)=X+14 equation:


Simplifying
2(3X + 1) + -3(4 + -1X) = X + 14

Reorder the terms:
2(1 + 3X) + -3(4 + -1X) = X + 14
(1 * 2 + 3X * 2) + -3(4 + -1X) = X + 14
(2 + 6X) + -3(4 + -1X) = X + 14
2 + 6X + (4 * -3 + -1X * -3) = X + 14
2 + 6X + (-12 + 3X) = X + 14

Reorder the terms:
2 + -12 + 6X + 3X = X + 14

Combine like terms: 2 + -12 = -10
-10 + 6X + 3X = X + 14

Combine like terms: 6X + 3X = 9X
-10 + 9X = X + 14

Reorder the terms:
-10 + 9X = 14 + X

Solving
-10 + 9X = 14 + X

Solving for variable 'X'.

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

Add '-1X' to each side of the equation.
-10 + 9X + -1X = 14 + X + -1X

Combine like terms: 9X + -1X = 8X
-10 + 8X = 14 + X + -1X

Combine like terms: X + -1X = 0
-10 + 8X = 14 + 0
-10 + 8X = 14

Add '10' to each side of the equation.
-10 + 10 + 8X = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 8X = 14 + 10
8X = 14 + 10

Combine like terms: 14 + 10 = 24
8X = 24

Divide each side by '8'.
X = 3

Simplifying
X = 3

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