2x+6=9x+2

Solution for 2x+6=9x+2 equation:

Simplifying
2x + 6 = 9x + 2

Reorder the terms:
6 + 2x = 9x + 2

Reorder the terms:
6 + 2x = 2 + 9x

Solving
6 + 2x = 2 + 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 + 2x + -9x = 2 + 9x + -9x

Combine like terms: 2x + -9x = -7x
6 + -7x = 2 + 9x + -9x

Combine like terms: 9x + -9x = 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