-5(x-2)=(x+6)

Solution for -5(x-2)=(x+6) equation:

Simplifying
-5(x + -2) = (x + 6)

Reorder the terms:
-5(-2 + x) = (x + 6)
(-2 * -5 + x * -5) = (x + 6)
(10 + -5x) = (x + 6)

Reorder the terms:
10 + -5x = (6 + x)

Remove parenthesis around (6 + x)
10 + -5x = 6 + x

Solving
10 + -5x = 6 + 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.
10 + -5x + -1x = 6 + x + -1x

Combine like terms: -5x + -1x = -6x
10 + -6x = 6 + x + -1x

Combine like terms: x + -1x = 0
10 + -6x = 6 + 0
10 + -6x = 6

Add '-10' to each side of the equation.
10 + -10 + -6x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = 6 + -10
-6x = 6 + -10

Combine like terms: 6 + -10 = -4
-6x = -4

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667