0.75(x-2)+0.25(x+4)=0.5

Solution for 0.75(x-2)+0.25(x+4)=0.5 equation:

Simplifying
0.75(x + -2) + 0.25(x + 4) = 0.5

Reorder the terms:
0.75(-2 + x) + 0.25(x + 4) = 0.5
(-2 * 0.75 + x * 0.75) + 0.25(x + 4) = 0.5
(-1.5 + 0.75x) + 0.25(x + 4) = 0.5

Reorder the terms:
-1.5 + 0.75x + 0.25(4 + x) = 0.5
-1.5 + 0.75x + (4 * 0.25 + x * 0.25) = 0.5
-1.5 + 0.75x + (1 + 0.25x) = 0.5

Reorder the terms:
-1.5 + 1 + 0.75x + 0.25x = 0.5

Combine like terms: -1.5 + 1 = -0.5
-0.5 + 0.75x + 0.25x = 0.5

Combine like terms: 0.75x + 0.25x = 1x
-0.5 + 1x = 0.5

Solving
-0.5 + 1x = 0.5

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 1x = 0.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 1x = 0.5 + 0.5
1x = 0.5 + 0.5

Combine like terms: 0.5 + 0.5 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1