6(x+1)=2(x+7)

Solution for 6(x+1)=2(x+7) equation:

Simplifying
6(x + 1) = 2(x + 7)

Reorder the terms:
6(1 + x) = 2(x + 7)
(1 * 6 + x * 6) = 2(x + 7)
(6 + 6x) = 2(x + 7)

Reorder the terms:
6 + 6x = 2(7 + x)
6 + 6x = (7 * 2 + x * 2)
6 + 6x = (14 + 2x)

Solving
6 + 6x = 14 + 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 = 14 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = 14 + 0
6 + 4x = 14

Add '-6' to each side of the equation.
6 + -6 + 4x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 14 + -6
4x = 14 + -6

Combine like terms: 14 + -6 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2