2x+6=8x+3

Solution for 2x+6=8x+3 equation:

Simplifying
2x + 6 = 8x + 3

Reorder the terms:
6 + 2x = 8x + 3

Reorder the terms:
6 + 2x = 3 + 8x

Solving
6 + 2x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 2x + -8x = 3 + 8x + -8x

Combine like terms: 2x + -8x = -6x
6 + -6x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -6x = 3 + 0
6 + -6x = 3

Add '-6' to each side of the equation.
6 + -6 + -6x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = 3 + -6
-6x = 3 + -6

Combine like terms: 3 + -6 = -3
-6x = -3

Divide each side by '-6'.
x = 0.5

Simplifying
x = 0.5