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

Solution for 0.25(2.5+1.5(x-4))=-x equation:

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

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

Combine like terms: 2.5 + -6 = -3.5
0.25(-3.5 + 1.5x) = -1x
(-3.5 * 0.25 + 1.5x * 0.25) = -1x
(-0.875 + 0.375x) = -1x

Solving
-0.875 + 0.375x = -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.
-0.875 + 0.375x + x = -1x + x

Combine like terms: 0.375x + x = 1.375x
-0.875 + 1.375x = -1x + x

Combine like terms: -1x + x = 0
-0.875 + 1.375x = 0

Add '0.875' to each side of the equation.
-0.875 + 0.875 + 1.375x = 0 + 0.875

Combine like terms: -0.875 + 0.875 = 0.000
0.000 + 1.375x = 0 + 0.875
1.375x = 0 + 0.875

Combine like terms: 0 + 0.875 = 0.875
1.375x = 0.875

Divide each side by '1.375'.
x = 0.6363636364

Simplifying
x = 0.6363636364