6(8x+1)=-(x-5)+1

Solution for 6(8x+1)=-(x-5)+1 equation:

Simplifying
6(8x + 1) = -1(x + -5) + 1

Reorder the terms:
6(1 + 8x) = -1(x + -5) + 1
(1 * 6 + 8x * 6) = -1(x + -5) + 1
(6 + 48x) = -1(x + -5) + 1

Reorder the terms:
6 + 48x = -1(-5 + x) + 1
6 + 48x = (-5 * -1 + x * -1) + 1
6 + 48x = (5 + -1x) + 1

Reorder the terms:
6 + 48x = 5 + 1 + -1x

Combine like terms: 5 + 1 = 6
6 + 48x = 6 + -1x

Add '-6' to each side of the equation.
6 + -6 + 48x = 6 + -6 + -1x

Combine like terms: 6 + -6 = 0
0 + 48x = 6 + -6 + -1x
48x = 6 + -6 + -1x

Combine like terms: 6 + -6 = 0
48x = 0 + -1x
48x = -1x

Solving
48x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
48x + x = -1x + x

Combine like terms: 48x + x = 49x
49x = -1x + x

Combine like terms: -1x + x = 0
49x = 0

Divide each side by '49'.
x = 0

Simplifying
x = 0