3(x+14)+2(x+10)=82

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Solution for 3(x+14)+2(x+10)=82 equation: 


Simplifying
3(x + 14) + 2(x + 10) = 82

Reorder the terms:
3(14 + x) + 2(x + 10) = 82
(14 * 3 + x * 3) + 2(x + 10) = 82
(42 + 3x) + 2(x + 10) = 82

Reorder the terms:
42 + 3x + 2(10 + x) = 82
42 + 3x + (10 * 2 + x * 2) = 82
42 + 3x + (20 + 2x) = 82

Reorder the terms:
42 + 20 + 3x + 2x = 82

Combine like terms: 42 + 20 = 62
62 + 3x + 2x = 82

Combine like terms: 3x + 2x = 5x
62 + 5x = 82

Solving
62 + 5x = 82

Solving for variable 'x'.

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

Add '-62' to each side of the equation.
62 + -62 + 5x = 82 + -62

Combine like terms: 62 + -62 = 0
0 + 5x = 82 + -62
5x = 82 + -62

Combine like terms: 82 + -62 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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