7(x-2)=(x+2)

Solution for 7(x-2)=(x+2) equation:

Simplifying
7(x + -2) = (x + 2)

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

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

Remove parenthesis around (2 + x)
-14 + 7x = 2 + x

Solving
-14 + 7x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-14 + 7x + -1x = 2 + x + -1x

Combine like terms: 7x + -1x = 6x
-14 + 6x = 2 + x + -1x

Combine like terms: x + -1x = 0
-14 + 6x = 2 + 0
-14 + 6x = 2

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

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

Combine like terms: 2 + 14 = 16
6x = 16

Divide each side by '6'.
x = 2.666666667

Simplifying
x = 2.666666667