6(7x+1)-8=x-(x+1)

Solution for 6(7x+1)-8=x-(x+1) equation:

Simplifying
6(7x + 1) + -8 = x + -1(x + 1)

Reorder the terms:
6(1 + 7x) + -8 = x + -1(x + 1)
(1 * 6 + 7x * 6) + -8 = x + -1(x + 1)
(6 + 42x) + -8 = x + -1(x + 1)

Reorder the terms:
6 + -8 + 42x = x + -1(x + 1)

Combine like terms: 6 + -8 = -2
-2 + 42x = x + -1(x + 1)

Reorder the terms:
-2 + 42x = x + -1(1 + x)
-2 + 42x = x + (1 * -1 + x * -1)
-2 + 42x = x + (-1 + -1x)

Reorder the terms:
-2 + 42x = -1 + x + -1x

Combine like terms: x + -1x = 0
-2 + 42x = -1 + 0
-2 + 42x = -1

Solving
-2 + 42x = -1

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 + 42x = -1 + 2

Combine like terms: -2 + 2 = 0
0 + 42x = -1 + 2
42x = -1 + 2

Combine like terms: -1 + 2 = 1
42x = 1

Divide each side by '42'.
x = 0.02380952381

Simplifying
x = 0.02380952381