3(x+14)+4(10-x)=0

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Solution for 3(x+14)+4(10-x)=0 equation:


Simplifying
3(x + 14) + 4(10 + -1x) = 0

Reorder the terms:
3(14 + x) + 4(10 + -1x) = 0
(14 * 3 + x * 3) + 4(10 + -1x) = 0
(42 + 3x) + 4(10 + -1x) = 0
42 + 3x + (10 * 4 + -1x * 4) = 0
42 + 3x + (40 + -4x) = 0

Reorder the terms:
42 + 40 + 3x + -4x = 0

Combine like terms: 42 + 40 = 82
82 + 3x + -4x = 0

Combine like terms: 3x + -4x = -1x
82 + -1x = 0

Solving
82 + -1x = 0

Solving for variable 'x'.

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

Add '-82' to each side of the equation.
82 + -82 + -1x = 0 + -82

Combine like terms: 82 + -82 = 0
0 + -1x = 0 + -82
-1x = 0 + -82

Combine like terms: 0 + -82 = -82
-1x = -82

Divide each side by '-1'.
x = 82

Simplifying
x = 82

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