2(X-4)+12=5-(X-17)

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Solution for 2(X-4)+12=5-(X-17) equation: 


Simplifying
2(X + -4) + 12 = 5 + -1(X + -17)

Reorder the terms:
2(-4 + X) + 12 = 5 + -1(X + -17)
(-4 * 2 + X * 2) + 12 = 5 + -1(X + -17)
(-8 + 2X) + 12 = 5 + -1(X + -17)

Reorder the terms:
-8 + 12 + 2X = 5 + -1(X + -17)

Combine like terms: -8 + 12 = 4
4 + 2X = 5 + -1(X + -17)

Reorder the terms:
4 + 2X = 5 + -1(-17 + X)
4 + 2X = 5 + (-17 * -1 + X * -1)
4 + 2X = 5 + (17 + -1X)

Combine like terms: 5 + 17 = 22
4 + 2X = 22 + -1X

Solving
4 + 2X = 22 + -1X

Solving for variable 'X'.

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

Add 'X' to each side of the equation.
4 + 2X + X = 22 + -1X + X

Combine like terms: 2X + X = 3X
4 + 3X = 22 + -1X + X

Combine like terms: -1X + X = 0
4 + 3X = 22 + 0
4 + 3X = 22

Add '-4' to each side of the equation.
4 + -4 + 3X = 22 + -4

Combine like terms: 4 + -4 = 0
0 + 3X = 22 + -4
3X = 22 + -4

Combine like terms: 22 + -4 = 18
3X = 18

Divide each side by '3'.
X = 6

Simplifying
X = 6

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