8x+6=-1x+51

Solution for 8x+6=-1x+51 equation:

Simplifying
8x + 6 = -1x + 51

Reorder the terms:
6 + 8x = -1x + 51

Reorder the terms:
6 + 8x = 51 + -1x

Solving
6 + 8x = 51 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 8x + x = 51 + -1x + x

Combine like terms: 8x + x = 9x
6 + 9x = 51 + -1x + x

Combine like terms: -1x + x = 0
6 + 9x = 51 + 0
6 + 9x = 51

Add '-6' to each side of the equation.
6 + -6 + 9x = 51 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 51 + -6
9x = 51 + -6

Combine like terms: 51 + -6 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5