-0.25(x-8)+0.5(x+2)=x+3

Solution for -0.25(x-8)+0.5(x+2)=x+3 equation:

Simplifying
-0.25(x + -8) + 0.5(x + 2) = x + 3

Reorder the terms:
-0.25(-8 + x) + 0.5(x + 2) = x + 3
(-8 * -0.25 + x * -0.25) + 0.5(x + 2) = x + 3
(2 + -0.25x) + 0.5(x + 2) = x + 3

Reorder the terms:
2 + -0.25x + 0.5(2 + x) = x + 3
2 + -0.25x + (2 * 0.5 + x * 0.5) = x + 3
2 + -0.25x + (1 + 0.5x) = x + 3

Reorder the terms:
2 + 1 + -0.25x + 0.5x = x + 3

Combine like terms: 2 + 1 = 3
3 + -0.25x + 0.5x = x + 3

Combine like terms: -0.25x + 0.5x = 0.25x
3 + 0.25x = x + 3

Reorder the terms:
3 + 0.25x = 3 + x

Add '-3' to each side of the equation.
3 + -3 + 0.25x = 3 + -3 + x

Combine like terms: 3 + -3 = 0
0 + 0.25x = 3 + -3 + x
0.25x = 3 + -3 + x

Combine like terms: 3 + -3 = 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