6+x=9(x-5)

Solution for 6+x=9(x-5) equation:

Simplifying
6 + x = 9(x + -5)

Reorder the terms:
6 + x = 9(-5 + x)
6 + x = (-5 * 9 + x * 9)
6 + x = (-45 + 9x)

Solving
6 + x = -45 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + x + -9x = -45 + 9x + -9x

Combine like terms: x + -9x = -8x
6 + -8x = -45 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -8x = -45 + 0
6 + -8x = -45

Add '-6' to each side of the equation.
6 + -6 + -8x = -45 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -45 + -6
-8x = -45 + -6

Combine like terms: -45 + -6 = -51
-8x = -51

Divide each side by '-8'.
x = 6.375

Simplifying
x = 6.375