7x-3(x-14)=82

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

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

Reorder the terms:
7x + -3(-14 + x) = 82
7x + (-14 * -3 + x * -3) = 82
7x + (42 + -3x) = 82

Reorder the terms:
42 + 7x + -3x = 82

Combine like terms: 7x + -3x = 4x
42 + 4x = 82

Solving
42 + 4x = 82

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 4x = 82 + -42

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

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

Divide each side by '4'.
x = 10

Simplifying
x = 10