3*(2x+5)+19=82

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Solution for 3*(2x+5)+19=82 equation:


Simplifying
3(2x + 5) + 19 = 82

Reorder the terms:
3(5 + 2x) + 19 = 82
(5 * 3 + 2x * 3) + 19 = 82
(15 + 6x) + 19 = 82

Reorder the terms:
15 + 19 + 6x = 82

Combine like terms: 15 + 19 = 34
34 + 6x = 82

Solving
34 + 6x = 82

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + 6x = 82 + -34

Combine like terms: 34 + -34 = 0
0 + 6x = 82 + -34
6x = 82 + -34

Combine like terms: 82 + -34 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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