6(x+1)=14(x+1)

Solution for 6(x+1)=14(x+1) equation:

Simplifying
6(x + 1) = 14(x + 1)

Reorder the terms:
6(1 + x) = 14(x + 1)
(1 * 6 + x * 6) = 14(x + 1)
(6 + 6x) = 14(x + 1)

Reorder the terms:
6 + 6x = 14(1 + x)
6 + 6x = (1 * 14 + x * 14)
6 + 6x = (14 + 14x)

Solving
6 + 6x = 14 + 14x

Solving for variable 'x'.

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

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

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

Combine like terms: 14x + -14x = 0
6 + -8x = 14 + 0
6 + -8x = 14

Add '-6' to each side of the equation.
6 + -6 + -8x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 14 + -6
-8x = 14 + -6

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

Divide each side by '-8'.
x = -1

Simplifying
x = -1