6+x=6(x-5)

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

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

Reorder the terms:
6 + x = 6(-5 + x)
6 + x = (-5 * 6 + x * 6)
6 + x = (-30 + 6x)

Solving
6 + x = -30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + x + -6x = -30 + 6x + -6x

Combine like terms: x + -6x = -5x
6 + -5x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -5x = -30 + 0
6 + -5x = -30

Add '-6' to each side of the equation.
6 + -6 + -5x = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -30 + -6
-5x = -30 + -6

Combine like terms: -30 + -6 = -36
-5x = -36

Divide each side by '-5'.
x = 7.2

Simplifying
x = 7.2