6(x+1)=7(x-5)

Solution for 6(x+1)=7(x-5) equation:

Simplifying
6(x + 1) = 7(x + -5)

Reorder the terms:
6(1 + x) = 7(x + -5)
(1 * 6 + x * 6) = 7(x + -5)
(6 + 6x) = 7(x + -5)

Reorder the terms:
6 + 6x = 7(-5 + x)
6 + 6x = (-5 * 7 + x * 7)
6 + 6x = (-35 + 7x)

Solving
6 + 6x = -35 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 6x + -7x = -35 + 7x + -7x

Combine like terms: 6x + -7x = -1x
6 + -1x = -35 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -1x = -35 + 0
6 + -1x = -35

Add '-6' to each side of the equation.
6 + -6 + -1x = -35 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -35 + -6
-1x = -35 + -6

Combine like terms: -35 + -6 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41