x+6(1-2x)=83

Solution for x+6(1-2x)=83 equation:

Simplifying
x + 6(1 + -2x) = 83
x + (1 * 6 + -2x * 6) = 83
x + (6 + -12x) = 83

Reorder the terms:
6 + x + -12x = 83

Combine like terms: x + -12x = -11x
6 + -11x = 83

Solving
6 + -11x = 83

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -11x = 83 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = 83 + -6
-11x = 83 + -6

Combine like terms: 83 + -6 = 77
-11x = 77

Divide each side by '-11'.
x = -7

Simplifying
x = -7