(2x-12)+(3x+4)=82

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Solution for (2x-12)+(3x+4)=82 equation:


Simplifying
(2x + -12) + (3x + 4) = 82

Reorder the terms:
(-12 + 2x) + (3x + 4) = 82

Remove parenthesis around (-12 + 2x)
-12 + 2x + (3x + 4) = 82

Reorder the terms:
-12 + 2x + (4 + 3x) = 82

Remove parenthesis around (4 + 3x)
-12 + 2x + 4 + 3x = 82

Reorder the terms:
-12 + 4 + 2x + 3x = 82

Combine like terms: -12 + 4 = -8
-8 + 2x + 3x = 82

Combine like terms: 2x + 3x = 5x
-8 + 5x = 82

Solving
-8 + 5x = 82

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 82 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 82 + 8
5x = 82 + 8

Combine like terms: 82 + 8 = 90
5x = 90

Divide each side by '5'.
x = 18

Simplifying
x = 18

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