.25(x+8)=x+2

Solution for .25(x+8)=x+2 equation:

Simplifying
0.25(x + 8) = x + 2

Reorder the terms:
0.25(8 + x) = x + 2
(8 * 0.25 + x * 0.25) = x + 2
(2 + 0.25x) = x + 2

Reorder the terms:
2 + 0.25x = 2 + x

Add '-2' to each side of the equation.
2 + -2 + 0.25x = 2 + -2 + x

Combine like terms: 2 + -2 = 0
0 + 0.25x = 2 + -2 + x
0.25x = 2 + -2 + x

Combine like terms: 2 + -2 = 0
0.25x = 0 + x
0.25x = x

Solving
0.25x = 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.
0.25x + -1x = x + -1x

Combine like terms: 0.25x + -1x = -0.75x
-0.75x = x + -1x

Combine like terms: x + -1x = 0
-0.75x = 0

Divide each side by '-0.75'.
x = 0

Simplifying
x = 0