6+.25x=2(x+11.5)-2.5

Solution for 6+.25x=2(x+11.5)-2.5 equation:

Simplifying
6 + 0.25x = 2(x + 11.5) + -2.5

Reorder the terms:
6 + 0.25x = 2(11.5 + x) + -2.5
6 + 0.25x = (11.5 * 2 + x * 2) + -2.5
6 + 0.25x = (23 + 2x) + -2.5

Reorder the terms:
6 + 0.25x = 23 + -2.5 + 2x

Combine like terms: 23 + -2.5 = 20.5
6 + 0.25x = 20.5 + 2x

Solving
6 + 0.25x = 20.5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 0.25x + -2x = 20.5 + 2x + -2x

Combine like terms: 0.25x + -2x = -1.75x
6 + -1.75x = 20.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -1.75x = 20.5 + 0
6 + -1.75x = 20.5

Add '-6' to each side of the equation.
6 + -6 + -1.75x = 20.5 + -6

Combine like terms: 6 + -6 = 0
0 + -1.75x = 20.5 + -6
-1.75x = 20.5 + -6

Combine like terms: 20.5 + -6 = 14.5
-1.75x = 14.5

Divide each side by '-1.75'.
x = -8.285714286

Simplifying
x = -8.285714286