6(x+1)=8x+14

Solution for 6(x+1)=8x+14 equation:

Simplifying
6(x + 1) = 8x + 14

Reorder the terms:
6(1 + x) = 8x + 14
(1 * 6 + x * 6) = 8x + 14
(6 + 6x) = 8x + 14

Reorder the terms:
6 + 6x = 14 + 8x

Solving
6 + 6x = 14 + 8x

Solving for variable 'x'.

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

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

Combine like terms: 6x + -8x = -2x
6 + -2x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -2x = 14 + 0
6 + -2x = 14

Add '-6' to each side of the equation.
6 + -6 + -2x = 14 + -6

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

Combine like terms: 14 + -6 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4