7x-82=3x-14

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Solution for 7x-82=3x-14 equation:


Simplifying
7x + -82 = 3x + -14

Reorder the terms:
-82 + 7x = 3x + -14

Reorder the terms:
-82 + 7x = -14 + 3x

Solving
-82 + 7x = -14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-82 + 7x + -3x = -14 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-82 + 4x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-82 + 4x = -14 + 0
-82 + 4x = -14

Add '82' to each side of the equation.
-82 + 82 + 4x = -14 + 82

Combine like terms: -82 + 82 = 0
0 + 4x = -14 + 82
4x = -14 + 82

Combine like terms: -14 + 82 = 68
4x = 68

Divide each side by '4'.
x = 17

Simplifying
x = 17

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