2(x+1)+6(x+1)=1

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

Simplifying
2(x + 1) + 6(x + 1) = 1

Reorder the terms:
2(1 + x) + 6(x + 1) = 1
(1 * 2 + x * 2) + 6(x + 1) = 1
(2 + 2x) + 6(x + 1) = 1

Reorder the terms:
2 + 2x + 6(1 + x) = 1
2 + 2x + (1 * 6 + x * 6) = 1
2 + 2x + (6 + 6x) = 1

Reorder the terms:
2 + 6 + 2x + 6x = 1

Combine like terms: 2 + 6 = 8
8 + 2x + 6x = 1

Combine like terms: 2x + 6x = 8x
8 + 8x = 1

Solving
8 + 8x = 1

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 8x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 8x = 1 + -8
8x = 1 + -8

Combine like terms: 1 + -8 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875