.25(2.5x+1.5(x-4))=-x

Solution for .25(2.5x+1.5(x-4))=-x equation:

Simplifying
0.25(2.5x + 1.5(x + -4)) = -1x

Reorder the terms:
0.25(2.5x + 1.5(-4 + x)) = -1x
0.25(2.5x + (-4 * 1.5 + x * 1.5)) = -1x
0.25(2.5x + (-6 + 1.5x)) = -1x

Reorder the terms:
0.25(-6 + 2.5x + 1.5x) = -1x

Combine like terms: 2.5x + 1.5x = 4x
0.25(-6 + 4x) = -1x
(-6 * 0.25 + 4x * 0.25) = -1x
(-1.5 + 1x) = -1x

Solving
-1.5 + 1x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-1.5 + 1x + x = -1x + x

Combine like terms: 1x + x = 2x
-1.5 + 2x = -1x + x

Combine like terms: -1x + x = 0
-1.5 + 2x = 0

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 2x = 0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 2x = 0 + 1.5
2x = 0 + 1.5

Combine like terms: 0 + 1.5 = 1.5
2x = 1.5

Divide each side by '2'.
x = 0.75

Simplifying
x = 0.75