x(13-5)+6=x+2

Solution for x(13-5)+6=x+2 equation:

Simplifying
x(13 + -5) + 6 = x + 2

Combine like terms: 13 + -5 = 8
x(8) + 6 = x + 2

Reorder the terms for easier multiplication:
8x + 6 = x + 2

Reorder the terms:
6 + 8x = x + 2

Reorder the terms:
6 + 8x = 2 + x

Solving
6 + 8x = 2 + 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.
6 + 8x + -1x = 2 + x + -1x

Combine like terms: 8x + -1x = 7x
6 + 7x = 2 + x + -1x

Combine like terms: x + -1x = 0
6 + 7x = 2 + 0
6 + 7x = 2

Add '-6' to each side of the equation.
6 + -6 + 7x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 2 + -6
7x = 2 + -6

Combine like terms: 2 + -6 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714