7x-82=3x-10

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Solution for 7x-82=3x-10 equation:


Simplifying
7x + -82 = 3x + -10

Reorder the terms:
-82 + 7x = 3x + -10

Reorder the terms:
-82 + 7x = -10 + 3x

Solving
-82 + 7x = -10 + 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 = -10 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-82 + 4x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-82 + 4x = -10 + 0
-82 + 4x = -10

Add '82' to each side of the equation.
-82 + 82 + 4x = -10 + 82

Combine like terms: -82 + 82 = 0
0 + 4x = -10 + 82
4x = -10 + 82

Combine like terms: -10 + 82 = 72
4x = 72

Divide each side by '4'.
x = 18

Simplifying
x = 18

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