6(x+1)=-2(x+37)

Solution for 6(x+1)=-2(x+37) equation:

Simplifying
6(x + 1) = -2(x + 37)

Reorder the terms:
6(1 + x) = -2(x + 37)
(1 * 6 + x * 6) = -2(x + 37)
(6 + 6x) = -2(x + 37)

Reorder the terms:
6 + 6x = -2(37 + x)
6 + 6x = (37 * -2 + x * -2)
6 + 6x = (-74 + -2x)

Solving
6 + 6x = -74 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 6x + 2x = -74 + -2x + 2x

Combine like terms: 6x + 2x = 8x
6 + 8x = -74 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 8x = -74 + 0
6 + 8x = -74

Add '-6' to each side of the equation.
6 + -6 + 8x = -74 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -74 + -6
8x = -74 + -6

Combine like terms: -74 + -6 = -80
8x = -80

Divide each side by '8'.
x = -10

Simplifying
x = -10