10x+6=9(x-9)-2

Solution for 10x+6=9(x-9)-2 equation:

Simplifying
10x + 6 = 9(x + -9) + -2

Reorder the terms:
6 + 10x = 9(x + -9) + -2

Reorder the terms:
6 + 10x = 9(-9 + x) + -2
6 + 10x = (-9 * 9 + x * 9) + -2
6 + 10x = (-81 + 9x) + -2

Reorder the terms:
6 + 10x = -81 + -2 + 9x

Combine like terms: -81 + -2 = -83
6 + 10x = -83 + 9x

Solving
6 + 10x = -83 + 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 + 10x + -9x = -83 + 9x + -9x

Combine like terms: 10x + -9x = 1x
6 + 1x = -83 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + 1x = -83 + 0
6 + 1x = -83

Add '-6' to each side of the equation.
6 + -6 + 1x = -83 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -83 + -6
1x = -83 + -6

Combine like terms: -83 + -6 = -89
1x = -89

Divide each side by '1'.
x = -89

Simplifying
x = -89