2(4x+1)=-12+6

Solution for 2(4x+1)=-12+6 equation:

Simplifying
2(4x + 1) = -12 + 6

Reorder the terms:
2(1 + 4x) = -12 + 6
(1 * 2 + 4x * 2) = -12 + 6
(2 + 8x) = -12 + 6

Combine like terms: -12 + 6 = -6
2 + 8x = -6

Solving
2 + 8x = -6

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 8x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = -6 + -2
8x = -6 + -2

Combine like terms: -6 + -2 = -8
8x = -8

Divide each side by '8'.
x = -1

Simplifying
x = -1