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

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


Simplifying
X + 3(x + -2) = 2(x + 4)

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

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

Reorder the terms:
-6 + X + 3x = 2(4 + x)
-6 + X + 3x = (4 * 2 + x * 2)
-6 + X + 3x = (8 + 2x)

Solving
-6 + X + 3x = 8 + 2x

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X + 6 + 3x = 8 + 6 + 2x

Reorder the terms:
-6 + 6 + X + 3x = 8 + 6 + 2x

Combine like terms: -6 + 6 = 0
0 + X + 3x = 8 + 6 + 2x
X + 3x = 8 + 6 + 2x

Combine like terms: 8 + 6 = 14
X + 3x = 14 + 2x

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

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

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

Simplifying
X = 14 + -1x

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