X-5(x+12)-(x-14)=-17

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Solution for X-5(x+12)-(x-14)=-17 equation:


Simplifying
X + -5(x + 12) + -1(x + -14) = -17

Reorder the terms:
X + -5(12 + x) + -1(x + -14) = -17
X + (12 * -5 + x * -5) + -1(x + -14) = -17
X + (-60 + -5x) + -1(x + -14) = -17

Reorder the terms:
X + -60 + -5x + -1(-14 + x) = -17
X + -60 + -5x + (-14 * -1 + x * -1) = -17
X + -60 + -5x + (14 + -1x) = -17

Reorder the terms:
-60 + 14 + X + -5x + -1x = -17

Combine like terms: -60 + 14 = -46
-46 + X + -5x + -1x = -17

Combine like terms: -5x + -1x = -6x
-46 + X + -6x = -17

Solving
-46 + X + -6x = -17

Solving for variable 'X'.

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

Add '46' to each side of the equation.
-46 + X + 46 + -6x = -17 + 46

Reorder the terms:
-46 + 46 + X + -6x = -17 + 46

Combine like terms: -46 + 46 = 0
0 + X + -6x = -17 + 46
X + -6x = -17 + 46

Combine like terms: -17 + 46 = 29
X + -6x = 29

Add '6x' to each side of the equation.
X + -6x + 6x = 29 + 6x

Combine like terms: -6x + 6x = 0
X + 0 = 29 + 6x
X = 29 + 6x

Simplifying
X = 29 + 6x

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