3(X+4)+2=10X+2-X

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Solution for 3(X+4)+2=10X+2-X equation:


Simplifying
3(X + 4) + 2 = 10X + 2 + -1X

Reorder the terms:
3(4 + X) + 2 = 10X + 2 + -1X
(4 * 3 + X * 3) + 2 = 10X + 2 + -1X
(12 + 3X) + 2 = 10X + 2 + -1X

Reorder the terms:
12 + 2 + 3X = 10X + 2 + -1X

Combine like terms: 12 + 2 = 14
14 + 3X = 10X + 2 + -1X

Reorder the terms:
14 + 3X = 2 + 10X + -1X

Combine like terms: 10X + -1X = 9X
14 + 3X = 2 + 9X

Solving
14 + 3X = 2 + 9X

Solving for variable 'X'.

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

Add '-9X' to each side of the equation.
14 + 3X + -9X = 2 + 9X + -9X

Combine like terms: 3X + -9X = -6X
14 + -6X = 2 + 9X + -9X

Combine like terms: 9X + -9X = 0
14 + -6X = 2 + 0
14 + -6X = 2

Add '-14' to each side of the equation.
14 + -14 + -6X = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -6X = 2 + -14
-6X = 2 + -14

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

Divide each side by '-6'.
X = 2

Simplifying
X = 2

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