(3x-18)+(x+17)+(2x-3)=82

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Solution for (3x-18)+(x+17)+(2x-3)=82 equation:


Simplifying
(3x + -18) + (x + 17) + (2x + -3) = 82

Reorder the terms:
(-18 + 3x) + (x + 17) + (2x + -3) = 82

Remove parenthesis around (-18 + 3x)
-18 + 3x + (x + 17) + (2x + -3) = 82

Reorder the terms:
-18 + 3x + (17 + x) + (2x + -3) = 82

Remove parenthesis around (17 + x)
-18 + 3x + 17 + x + (2x + -3) = 82

Reorder the terms:
-18 + 3x + 17 + x + (-3 + 2x) = 82

Remove parenthesis around (-3 + 2x)
-18 + 3x + 17 + x + -3 + 2x = 82

Reorder the terms:
-18 + 17 + -3 + 3x + x + 2x = 82

Combine like terms: -18 + 17 = -1
-1 + -3 + 3x + x + 2x = 82

Combine like terms: -1 + -3 = -4
-4 + 3x + x + 2x = 82

Combine like terms: 3x + x = 4x
-4 + 4x + 2x = 82

Combine like terms: 4x + 2x = 6x
-4 + 6x = 82

Solving
-4 + 6x = 82

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 6x = 82 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 82 + 4
6x = 82 + 4

Combine like terms: 82 + 4 = 86
6x = 86

Divide each side by '6'.
x = 14.33333333

Simplifying
x = 14.33333333

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