.5(x-3)+(1.5-x)=5

Solution for .5(x-3)+(1.5-x)=5 equation:

Simplifying
0.5(x + -3) + (1.5 + -1x) = 5

Reorder the terms:
0.5(-3 + x) + (1.5 + -1x) = 5
(-3 * 0.5 + x * 0.5) + (1.5 + -1x) = 5
(-1.5 + 0.5x) + (1.5 + -1x) = 5

Remove parenthesis around (1.5 + -1x)
-1.5 + 0.5x + 1.5 + -1x = 5

Reorder the terms:
-1.5 + 1.5 + 0.5x + -1x = 5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.5x + -1x = 5
0.5x + -1x = 5

Combine like terms: 0.5x + -1x = -0.5x
-0.5x = 5

Solving
-0.5x = 5

Solving for variable 'x'.

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

Divide each side by '-0.5'.
x = -10

Simplifying
x = -10